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Fun with Fractions, Decimals, and Percents: Cool Worksheets and Tips

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Ari

9/5/2023

Arithmetic

Percents

Subjects

Arithmetic

Percents

Equivalent Representations of Percent Problems

986

•

Sep 5, 2023

•

4 pages

Fun with Fractions, Decimals, and Percents: Cool Worksheets and Tips

user profile picture

Ari

@ari_beauty.17

A comprehensive guide on converting between fractions, decimals, and percentages,... Show more

Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a

Percentages and Decimal Conversions

This page introduces the concept of percentages and provides methods for converting between decimals and percentages.

Definition: A percent is a fraction that has a denominator of 100. For example, 10% means "10 for each 100" or 10/100.

The page emphasizes that a percent can always be written as a decimal and vice versa.

Converting Decimals to Percentages

The guide outlines a three-step process for converting decimals to percentages:

  1. Write out the problem e.g., 0.24 = __%
  2. Multiply the decimal by 100 or move the decimal point 2 places to the right
  3. The resulting number is the percentage

Example: Converting 0.24 to a percentage: 0.24 x 100 = 24% The answer is 24%

Converting Percentages to Decimals

Similarly, the guide provides a three-step process for converting percentages to decimals:

  1. Write out the problem e.g.,35e.g., 35% = __
  2. Divide the percentage by 100 or move the decimal point 2 places to the left
  3. The resulting number is the decimal

Example: Converting 35% to a decimal: 35% → 35/100 = 0.35 The answer is 0.35

The page concludes by mentioning that the next section will cover converting between fractions and percentages, after a review of converting between fractions and decimals.

Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a

Converting Between Fractions and Decimals

This page focuses on methods for converting fractions to decimals and vice versa, particularly for fractions with denominators that are factors of 100.

Converting Fractions to Decimals

The guide provides a five-step process for converting fractions to decimals:

  1. Write out the fraction (e.g., 3/4)
  2. Divide 100 by the denominator 100÷4=25100 ÷ 4 = 25
  3. Multiply both numerator and denominator by the result (3/4 → (3 x 25)/(4 x 25))
  4. Simplify the numbers within parentheses (75/100)
  5. Move the decimal point two places to the left (0.75)

Example: Converting 3/4 to a decimal: 3/4 → 75/100 → 0.75 The answer is 0.75

Converting Decimals to Fractions

The guide outlines a three-step process for converting decimals to fractions:

  1. Write out the decimal (e.g., 0.25)
  2. Multiply the decimal by 100 to create the numerator 0.25x100=250.25 x 100 = 25
  3. Set the result as the numerator with a denominator of 100 (25/100)

Example: Converting 0.25 to a fraction: 0.25 → 25/100 The answer is 25/100

Converting Fractions to Percentages (Denominators that are factors of 100)

The guide provides a simple two-step process:

  1. Write out the fraction (e.g., 5/100)
  2. When the denominator is 100, the numerator becomes the percentage

Example: Converting 5/100 to a percentage: 5/100 → 5% The answer is 5%

This page serves as a bridge between decimal-percentage conversions and fraction-percentage conversions, reinforcing the relationships between these three mathematical representations.

Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a

Advanced Conversions and Common Percentages

This page covers more complex conversions and provides a reference table for common percentages.

Converting Fractions to Percentages (Denominators not factors of 100)

The guide outlines a three-step process:

  1. Write out the fraction (e.g., 1/3)
  2. Divide the numerator by the denominator (1 ÷ 3 ≈ 0.333...)
  3. Multiply the result by 100 or move the decimal point two places right (33.3%)

Example: Converting 1/3 to a percentage: 1/3 → 0.333... → 33.3% The answer is approximately 33%

Converting Percentages to Fractions

The guide provides a simple two-step process:

  1. Write out the percentage (e.g., 86%)
  2. Use the whole number as the numerator and 100 as the denominator (86/100)

Example: Converting 86% to a fraction: 86% → 86/100 The answer is 86/100

Finding Common Percentages

The page includes a table of common percentages, their fractional equivalents, and decimal representations. This table serves as a quick reference for students.

Highlight: Memorizing these common percentages can greatly improve calculation speed and accuracy in everyday math problems.

Some examples from the table:

  • 1/2 = 0.5 = 50%
  • 1/4 = 0.25 = 25%
  • 1/5 = 0.2 = 20%
  • 1/10 = 0.1 = 10%

This comprehensive guide provides students with the tools to confidently convert between fractions, decimals and percents, enhancing their mathematical fluency and problem-solving skills.

Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a

Converting Between Fractions, Decimals, and Percentages

This guide provides a detailed explanation of how to convert between fractions, decimals and percents. It's particularly useful for middle school students learning these fundamental mathematical concepts.

Key points:

  • A percent is a fraction with a denominator of 100
  • Percentages can always be written as decimals and vice versa
  • The guide covers conversions between:
    • Decimals to percentages
    • Percentages to decimals
    • Fractions to decimals
    • Decimals to fractions
    • Fractions to percentages
    • Percentages to fractions
  • Step-by-step instructions are provided for each conversion type
  • A table of common percentages, fractions, and their decimal equivalents is included

This resource is an excellent supplement to classroom learning, offering clear explanations and examples to reinforce understanding of these essential mathematical relationships.



We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Similar Content

More

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

Subjects

Arithmetic

Percents

Equivalent Representations of Percent Problems

 

Arithmetic

•

986

•

Sep 5, 2023

•

4 pages

Fun with Fractions, Decimals, and Percents: Cool Worksheets and Tips

user profile picture

Ari

@ari_beauty.17

A comprehensive guide on converting between fractions, decimals, and percentages, aimed at middle school students. This resource covers step-by-step conversion methods, common percentages, and practical examples.

Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Percentages and Decimal Conversions

This page introduces the concept of percentages and provides methods for converting between decimals and percentages.

Definition: A percent is a fraction that has a denominator of 100. For example, 10% means "10 for each 100" or 10/100.

The page emphasizes that a percent can always be written as a decimal and vice versa.

Converting Decimals to Percentages

The guide outlines a three-step process for converting decimals to percentages:

  1. Write out the problem e.g., 0.24 = __%
  2. Multiply the decimal by 100 or move the decimal point 2 places to the right
  3. The resulting number is the percentage

Example: Converting 0.24 to a percentage: 0.24 x 100 = 24% The answer is 24%

Converting Percentages to Decimals

Similarly, the guide provides a three-step process for converting percentages to decimals:

  1. Write out the problem e.g.,35e.g., 35% = __
  2. Divide the percentage by 100 or move the decimal point 2 places to the left
  3. The resulting number is the decimal

Example: Converting 35% to a decimal: 35% → 35/100 = 0.35 The answer is 0.35

The page concludes by mentioning that the next section will cover converting between fractions and percentages, after a review of converting between fractions and decimals.

Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Converting Between Fractions and Decimals

This page focuses on methods for converting fractions to decimals and vice versa, particularly for fractions with denominators that are factors of 100.

Converting Fractions to Decimals

The guide provides a five-step process for converting fractions to decimals:

  1. Write out the fraction (e.g., 3/4)
  2. Divide 100 by the denominator 100÷4=25100 ÷ 4 = 25
  3. Multiply both numerator and denominator by the result (3/4 → (3 x 25)/(4 x 25))
  4. Simplify the numbers within parentheses (75/100)
  5. Move the decimal point two places to the left (0.75)

Example: Converting 3/4 to a decimal: 3/4 → 75/100 → 0.75 The answer is 0.75

Converting Decimals to Fractions

The guide outlines a three-step process for converting decimals to fractions:

  1. Write out the decimal (e.g., 0.25)
  2. Multiply the decimal by 100 to create the numerator 0.25x100=250.25 x 100 = 25
  3. Set the result as the numerator with a denominator of 100 (25/100)

Example: Converting 0.25 to a fraction: 0.25 → 25/100 The answer is 25/100

Converting Fractions to Percentages (Denominators that are factors of 100)

The guide provides a simple two-step process:

  1. Write out the fraction (e.g., 5/100)
  2. When the denominator is 100, the numerator becomes the percentage

Example: Converting 5/100 to a percentage: 5/100 → 5% The answer is 5%

This page serves as a bridge between decimal-percentage conversions and fraction-percentage conversions, reinforcing the relationships between these three mathematical representations.

Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Advanced Conversions and Common Percentages

This page covers more complex conversions and provides a reference table for common percentages.

Converting Fractions to Percentages (Denominators not factors of 100)

The guide outlines a three-step process:

  1. Write out the fraction (e.g., 1/3)
  2. Divide the numerator by the denominator (1 ÷ 3 ≈ 0.333...)
  3. Multiply the result by 100 or move the decimal point two places right (33.3%)

Example: Converting 1/3 to a percentage: 1/3 → 0.333... → 33.3% The answer is approximately 33%

Converting Percentages to Fractions

The guide provides a simple two-step process:

  1. Write out the percentage (e.g., 86%)
  2. Use the whole number as the numerator and 100 as the denominator (86/100)

Example: Converting 86% to a fraction: 86% → 86/100 The answer is 86/100

Finding Common Percentages

The page includes a table of common percentages, their fractional equivalents, and decimal representations. This table serves as a quick reference for students.

Highlight: Memorizing these common percentages can greatly improve calculation speed and accuracy in everyday math problems.

Some examples from the table:

  • 1/2 = 0.5 = 50%
  • 1/4 = 0.25 = 25%
  • 1/5 = 0.2 = 20%
  • 1/10 = 0.1 = 10%

This comprehensive guide provides students with the tools to confidently convert between fractions, decimals and percents, enhancing their mathematical fluency and problem-solving skills.

Percentages A percent is a fraction that has a denominator of 100 10% means "10 for each 100" or 10/100 A percent can ALWAYS be written as a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Converting Between Fractions, Decimals, and Percentages

This guide provides a detailed explanation of how to convert between fractions, decimals and percents. It's particularly useful for middle school students learning these fundamental mathematical concepts.

Key points:

  • A percent is a fraction with a denominator of 100
  • Percentages can always be written as decimals and vice versa
  • The guide covers conversions between:
    • Decimals to percentages
    • Percentages to decimals
    • Fractions to decimals
    • Decimals to fractions
    • Fractions to percentages
    • Percentages to fractions
  • Step-by-step instructions are provided for each conversion type
  • A table of common percentages, fractions, and their decimal equivalents is included

This resource is an excellent supplement to classroom learning, offering clear explanations and examples to reinforce understanding of these essential mathematical relationships.

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

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Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user