Subjects

Careers

Open the App

Subjects

Easy Ways to Add, Subtract, Multiply, and Divide Fractions

Open

1

0

user profile picture

Lexi Edwards

23/06/2023

Maths

fractions

Subjects

/

Maths

/

Number

/

Fractions

Easy Ways to Add, Subtract, Multiply, and Divide Fractions

Fractions are a fundamental concept in mathematics, covering operations like addition, subtraction, multiplication, and division. This guide provides a step-by-step guide to multiplying fractions simplified and explains how to add and subtract fractions with different denominators. It also includes practice problems for dividing fractions and converting mixed numbers.

Key points:

  • Adding and subtracting fractions requires a common denominator
  • Multiplying fractions involves multiplying numerators and denominators separately
  • Dividing fractions is done by flipping the second fraction and then multiplying
  • Simplifying fractions is an important step in all fraction operations
...

23/06/2023

84

F аааааааааааа Fractions adding and subtracting Practions • in order to add or subtract fractions they must have a common denominator (the n

View

Multiplying and Dividing Fractions

This page covers the techniques for multiplying fractions with whole numbers and dividing fractions. It provides clear instructions and examples for both operations.

For multiplying fractions:

  1. Multiply the numerators together
  2. Multiply the denominators together
  3. Simplify the result if possible

Example: To multiply 2/3 × 5/6, multiply 2 × 5 = 10 for the numerator and 3 × 6 = 18 for the denominator, resulting in 10/18, which can be simplified to 5/9.

For dividing fractions:

  1. Convert any mixed numbers to improper fractions
  2. Flip the second fraction reciprocalreciprocal
  3. Multiply the fractions as in the multiplication process
  4. Simplify the result if possible

Highlight: When dividing fractions, remember to "flip and multiply" - invert the second fraction and then proceed as if multiplying.

The page includes practice questions for both multiplying mixed fractions and dividing mixed numbers, allowing students to reinforce their understanding of these operations.

Vocabulary: An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

These exercises provide valuable practice for students working on multiplying fractions examples and dividing mixed fractions worksheets.

Similar content

Know Division thumbnail

11

179

7/8

Division

Dividing Fractions

Know Recurring Decimals thumbnail

14

362

7/8

Recurring Decimals

Teach students the best and most efficient method to do recurring decimals and how to convert them between decimals, fractions and percentages into recurring. Any queries please feel free to ask!

Know Adding fractions thumbnail

16

182

P7/S2

Adding fractions

How to add fractions

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

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

21 M

Pupils love Knowunity

#1

In education app charts in 17 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Subjects

Maths

Number

Fractions

 

Maths

•

84

•

23 Jun 2023

•

2 pages

Easy Ways to Add, Subtract, Multiply, and Divide Fractions

user profile picture

Lexi Edwards

@lexiedwards

Fractions are a fundamental concept in mathematics, covering operations like addition, subtraction, multiplication, and division. This guide provides a step-by-step guide to multiplying fractions simplified and explains how to add and subtract fractions with different denominators. It also includes ... Show more

F аааааааааааа Fractions adding and subtracting Practions • in order to add or subtract fractions they must have a common denominator (the n

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

Multiplying and Dividing Fractions

This page covers the techniques for multiplying fractions with whole numbers and dividing fractions. It provides clear instructions and examples for both operations.

For multiplying fractions:

  1. Multiply the numerators together
  2. Multiply the denominators together
  3. Simplify the result if possible

Example: To multiply 2/3 × 5/6, multiply 2 × 5 = 10 for the numerator and 3 × 6 = 18 for the denominator, resulting in 10/18, which can be simplified to 5/9.

For dividing fractions:

  1. Convert any mixed numbers to improper fractions
  2. Flip the second fraction reciprocalreciprocal
  3. Multiply the fractions as in the multiplication process
  4. Simplify the result if possible

Highlight: When dividing fractions, remember to "flip and multiply" - invert the second fraction and then proceed as if multiplying.

The page includes practice questions for both multiplying mixed fractions and dividing mixed numbers, allowing students to reinforce their understanding of these operations.

Vocabulary: An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

These exercises provide valuable practice for students working on multiplying fractions examples and dividing mixed fractions worksheets.

F аааааааааааа Fractions adding and subtracting Practions • in order to add or subtract fractions they must have a common denominator (the n

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

Adding and Subtracting Fractions

This page focuses on the techniques for adding and subtracting fractions with different denominators. It emphasizes the importance of finding a common denominator before performing these operations.

Definition: A common denominator is the same bottom number used for both fractions in an addition or subtraction problem.

The process for adding fractions is explained step-by-step:

  1. Find the lowest common multiple of the denominators
  2. Multiply both the numerator and denominator of each fraction by the same number to achieve the common denominator
  3. Add the numerators while keeping the common denominator
  4. Simplify the result if possible

Example: To add 2/5 + 3/4, first find the common denominator of 20. Then, convert the fractions to 8/20 + 15/20, which adds up to 23/20.

For subtracting fractions, a similar process is followed, but the numerators are subtracted instead of added.

Highlight: When working with fractions, whatever operation is performed on the denominator must also be applied to the numerator.

The page concludes with practice questions for adding and subtracting fractions with unlike denominators, providing an opportunity for students to apply the learned concepts.

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

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

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

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

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 apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

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

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

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

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

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 apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user