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Jun 25, 2022
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This document provides an overview of decimal and fraction calculations,... Show more
This page delves into the intricacies of multiplying and dividing fractions worksheets, focusing on the order of operations when working with fractions. It provides a step-by-step guide for addition, subtraction, multiplication, and division of fractions.
For addition and subtraction of fractions, the document emphasizes the importance of finding a common denominator. It explains that before performing these operations, any mixed numbers should be converted to improper fractions.
Definition: An improper fraction, also known as a top-heavy fraction, is a fraction where the numerator is greater than or equal to the denominator.
The guide then walks through the process of finding the least common multiple of the denominators to create equivalent fractions with the same denominator. This step is crucial for accurately adding or subtracting fractions.
Example: To add 2/3 and 1/4, first find the LCM of 3 and 4, which is 12. Then convert each fraction: + = 8/12 + 3/12 = 11/12
For multiplication of fractions, the document explains that you simply multiply the numerators together and the denominators together, then simplify the result if possible.
Highlight: When multiplying fractions, there's no need to find a common denominator. Simply multiply numerators and denominators separately.
The page also touches on the concept of simplifying fractions after multiplication, which is an important skill for students to master in fraction calculations.
This final page covers more advanced topics in multiplying and dividing mixed fractions worksheets, including the division of fractions and working with mixed numbers in various operations.
The document begins by reiterating the importance of converting mixed numbers to improper fractions before performing any operations. This step is crucial for accurate calculations involving mixed numbers.
Vocabulary: A mixed number is a whole number and a proper fraction combined, such as 3 1/2.
For division of fractions, the guide introduces the "Keep, Change, Flip" method, also known as the reciprocal method. This technique involves keeping the first fraction, changing the division sign to multiplication, and flipping the second fraction.
Example: To divide 3/4 by 2/5: ÷ = × = 15/8
The document also provides tips for simplifying calculations, such as canceling out common factors before multiplying. This technique can significantly reduce the complexity of the final multiplication step.
Highlight: Look for opportunities to cancel out common factors between numerators and denominators diagonally before multiplying. This can simplify your calculations.
Lastly, the page touches on the order of operations with decimal and fraction calculations worksheet, reminding students to follow the standard order of operations when working with complex expressions involving both fractions and decimals.
This comprehensive guide provides students with a solid foundation for performing a wide range of operations with fractions and decimals, preparing them for more advanced mathematical concepts.
This page introduces the fundamental concepts of adding and subtracting decimals worksheets PDF. It explains the proper techniques for aligning decimal points and digits when performing these operations.
For addition of decimals, the guide emphasizes the importance of lining up decimal points and digits correctly. This ensures accurate calculation, especially when dealing with numbers that have different numbers of decimal places.
Example: When adding 48.26 and 3.2, the correct alignment would be: 48.26
- 03.20 51.46
The same principle applies to subtraction of decimals. The document stresses the need for proper alignment to avoid errors in calculation.
Example: For subtracting 12.7 from 56.91: 56.91
- 12.70 44.21
The page also covers multiplication of decimals, introducing a method where you multiply the numbers as if they were whole numbers and then place the decimal point in the final answer based on the total number of decimal places in the original factors.
Highlight: When multiplying decimals, count the total number of decimal places in the factors and ensure the answer has the same number of decimal places.
For division of decimals, the guide presents a technique of multiplying both the dividend and divisor by powers of 10 until the divisor becomes a whole number. This transforms the problem into a simpler integer division.
Example: To divide 12.4 by 0.8, multiply both by 10: ÷ = 124 ÷ 8
This approach simplifies decimal division by converting it to whole number division, making the calculation more straightforward for students.
App Store
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
This document provides an overview of decimal and fraction calculations, focusing on the order of operations with decimals and fractions. It covers addition, subtraction, multiplication, and division of decimals and fractions, offering step-by-step explanations and examples for each operation.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page delves into the intricacies of multiplying and dividing fractions worksheets, focusing on the order of operations when working with fractions. It provides a step-by-step guide for addition, subtraction, multiplication, and division of fractions.
For addition and subtraction of fractions, the document emphasizes the importance of finding a common denominator. It explains that before performing these operations, any mixed numbers should be converted to improper fractions.
Definition: An improper fraction, also known as a top-heavy fraction, is a fraction where the numerator is greater than or equal to the denominator.
The guide then walks through the process of finding the least common multiple of the denominators to create equivalent fractions with the same denominator. This step is crucial for accurately adding or subtracting fractions.
Example: To add 2/3 and 1/4, first find the LCM of 3 and 4, which is 12. Then convert each fraction: + = 8/12 + 3/12 = 11/12
For multiplication of fractions, the document explains that you simply multiply the numerators together and the denominators together, then simplify the result if possible.
Highlight: When multiplying fractions, there's no need to find a common denominator. Simply multiply numerators and denominators separately.
The page also touches on the concept of simplifying fractions after multiplication, which is an important skill for students to master in fraction calculations.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This final page covers more advanced topics in multiplying and dividing mixed fractions worksheets, including the division of fractions and working with mixed numbers in various operations.
The document begins by reiterating the importance of converting mixed numbers to improper fractions before performing any operations. This step is crucial for accurate calculations involving mixed numbers.
Vocabulary: A mixed number is a whole number and a proper fraction combined, such as 3 1/2.
For division of fractions, the guide introduces the "Keep, Change, Flip" method, also known as the reciprocal method. This technique involves keeping the first fraction, changing the division sign to multiplication, and flipping the second fraction.
Example: To divide 3/4 by 2/5: ÷ = × = 15/8
The document also provides tips for simplifying calculations, such as canceling out common factors before multiplying. This technique can significantly reduce the complexity of the final multiplication step.
Highlight: Look for opportunities to cancel out common factors between numerators and denominators diagonally before multiplying. This can simplify your calculations.
Lastly, the page touches on the order of operations with decimal and fraction calculations worksheet, reminding students to follow the standard order of operations when working with complex expressions involving both fractions and decimals.
This comprehensive guide provides students with a solid foundation for performing a wide range of operations with fractions and decimals, preparing them for more advanced mathematical concepts.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page introduces the fundamental concepts of adding and subtracting decimals worksheets PDF. It explains the proper techniques for aligning decimal points and digits when performing these operations.
For addition of decimals, the guide emphasizes the importance of lining up decimal points and digits correctly. This ensures accurate calculation, especially when dealing with numbers that have different numbers of decimal places.
Example: When adding 48.26 and 3.2, the correct alignment would be: 48.26
- 03.20 51.46
The same principle applies to subtraction of decimals. The document stresses the need for proper alignment to avoid errors in calculation.
Example: For subtracting 12.7 from 56.91: 56.91
- 12.70 44.21
The page also covers multiplication of decimals, introducing a method where you multiply the numbers as if they were whole numbers and then place the decimal point in the final answer based on the total number of decimal places in the original factors.
Highlight: When multiplying decimals, count the total number of decimal places in the factors and ensure the answer has the same number of decimal places.
For division of decimals, the guide presents a technique of multiplying both the dividend and divisor by powers of 10 until the divisor becomes a whole number. This transforms the problem into a simpler integer division.
Example: To divide 12.4 by 0.8, multiply both by 10: ÷ = 124 ÷ 8
This approach simplifies decimal division by converting it to whole number division, making the calculation more straightforward for students.
App Store
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
