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151

Sep 15, 2023

4 pages

Easy Steps to Solve Expressions with Fractions and Decimals

Steps to simplify expressions with decimals and fractions and Order... Show more

EVALUATING EXPRESSIONS WITH
TWO VARIABLES: FRACTIONS &
DECIMALS
How to Evaluate Expressions with Two Variables Involving Fractions
1. Write

Page 2: Detailed Solution Process

This page demonstrates the step-by-step solution process for evaluating expressions with two variables involving fractions.

Example: The complete solution for 4 + 6m - 2n is shown, resulting in a final answer of 12.

Highlight: Special attention is given to converting whole numbers to fractions before multiplication by placing the whole number over 1.

Definition: When multiplying fractions with whole numbers, multiply numerators together and denominators together after conversion.

The page concludes by introducing a second example: 12x - 13 + 10y, where x = 2/5 and y = 3/4.

EVALUATING EXPRESSIONS WITH
TWO VARIABLES: FRACTIONS &
DECIMALS
How to Evaluate Expressions with Two Variables Involving Fractions
1. Write

Page 3: Advanced Problem Solving

This page continues with the solution process and introduces the concept of evaluating expressions with decimals.

Highlight: The solution process demonstrates how to handle multiple operations while maintaining mathematical accuracy.

Example: The complete solution shows how 12x - 13 + 10y simplifies to 0.

The page introduces two key steps for decimal operations:

  1. Variable replacement with numerical values
  2. Expression evaluation using PEMDAS
EVALUATING EXPRESSIONS WITH
TWO VARIABLES: FRACTIONS &
DECIMALS
How to Evaluate Expressions with Two Variables Involving Fractions
1. Write

Page 4: Decimal Operations

This page focuses on working with decimal values in two-variable expressions.

Example: A detailed solution for 16q - 3s + 10 where q = 0.1 and s = 0.5 is provided, resulting in 10.1.

Highlight: The importance of performing operations in the correct order is emphasized, particularly when working with decimals.

Definition: When working with decimals, multiplication is performed first, followed by addition and subtraction from left to right.

The solution demonstrates how to systematically work through decimal calculations while maintaining precision and accuracy in the final answer.

EVALUATING EXPRESSIONS WITH
TWO VARIABLES: FRACTIONS &
DECIMALS
How to Evaluate Expressions with Two Variables Involving Fractions
1. Write

Page 1: Introduction to Two-Variable Expressions

This page introduces the fundamental concepts for How to evaluate expressions with two variables using fractions. The content outlines a systematic four-step approach for solving these mathematical problems.

Definition: Order of Operations PEMDASPEMDAS is a mathematical rule system that determines the sequence of operations when evaluating expressions.

Highlight: The four-step process includes: writing parentheses around variables, replacing variables with given values, performing multiplication/division, and completing addition/subtraction.

Example: The page introduces an expression 4 + 6m - 2n, where m = 2/3 and n = -2, demonstrating the initial setup of a two-variable problem.

Vocabulary: PEMDAS breakdown:

  • P: Parentheses
  • E: Exponents
  • M: Multiplication
  • D: Division
  • A: Addition
  • S: Subtraction


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

 

Arithmetic

151

Sep 15, 2023

4 pages

Easy Steps to Solve Expressions with Fractions and Decimals

Steps to simplify expressions with decimals and fractions and Order of operations for evaluating two-variable expressionsare essential skills for solving mathematical problems. This comprehensive guide explains the systematic approach to evaluating expressions containing two variables with both fractions and... Show more

EVALUATING EXPRESSIONS WITH
TWO VARIABLES: FRACTIONS &
DECIMALS
How to Evaluate Expressions with Two Variables Involving Fractions
1. Write

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

Page 2: Detailed Solution Process

This page demonstrates the step-by-step solution process for evaluating expressions with two variables involving fractions.

Example: The complete solution for 4 + 6m - 2n is shown, resulting in a final answer of 12.

Highlight: Special attention is given to converting whole numbers to fractions before multiplication by placing the whole number over 1.

Definition: When multiplying fractions with whole numbers, multiply numerators together and denominators together after conversion.

The page concludes by introducing a second example: 12x - 13 + 10y, where x = 2/5 and y = 3/4.

EVALUATING EXPRESSIONS WITH
TWO VARIABLES: FRACTIONS &
DECIMALS
How to Evaluate Expressions with Two Variables Involving Fractions
1. Write

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

Page 3: Advanced Problem Solving

This page continues with the solution process and introduces the concept of evaluating expressions with decimals.

Highlight: The solution process demonstrates how to handle multiple operations while maintaining mathematical accuracy.

Example: The complete solution shows how 12x - 13 + 10y simplifies to 0.

The page introduces two key steps for decimal operations:

  1. Variable replacement with numerical values
  2. Expression evaluation using PEMDAS
EVALUATING EXPRESSIONS WITH
TWO VARIABLES: FRACTIONS &
DECIMALS
How to Evaluate Expressions with Two Variables Involving Fractions
1. Write

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

Page 4: Decimal Operations

This page focuses on working with decimal values in two-variable expressions.

Example: A detailed solution for 16q - 3s + 10 where q = 0.1 and s = 0.5 is provided, resulting in 10.1.

Highlight: The importance of performing operations in the correct order is emphasized, particularly when working with decimals.

Definition: When working with decimals, multiplication is performed first, followed by addition and subtraction from left to right.

The solution demonstrates how to systematically work through decimal calculations while maintaining precision and accuracy in the final answer.

EVALUATING EXPRESSIONS WITH
TWO VARIABLES: FRACTIONS &
DECIMALS
How to Evaluate Expressions with Two Variables Involving Fractions
1. Write

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

Page 1: Introduction to Two-Variable Expressions

This page introduces the fundamental concepts for How to evaluate expressions with two variables using fractions. The content outlines a systematic four-step approach for solving these mathematical problems.

Definition: Order of Operations PEMDASPEMDAS is a mathematical rule system that determines the sequence of operations when evaluating expressions.

Highlight: The four-step process includes: writing parentheses around variables, replacing variables with given values, performing multiplication/division, and completing addition/subtraction.

Example: The page introduces an expression 4 + 6m - 2n, where m = 2/3 and n = -2, demonstrating the initial setup of a two-variable problem.

Vocabulary: PEMDAS breakdown:

  • P: Parentheses
  • E: Exponents
  • M: Multiplication
  • D: Division
  • A: Addition
  • S: Subtraction

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