Math Tutorial 3.4 - Operations with Fractions

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There are 9 lessons in this math tutorial covering Operations with Fractions. The tutorial starts with an introduction to Operations with Fractions and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Operations with Fractions. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • How to add or subtract two fractions with the same denominator?
  • How to add or subtract two fractions with different denominators.
  • How to multiply two fractions?
  • How to multiply mixed numbers with fractions or whole numbers?
  • How to divide fractions or mixed numbers?
  • How to raise a fraction in a given power?
  • How to use the BEDMAS Rule in fractions?
  • What are some applications of fractions in daily life?


Can you add half an apple and one quarter of an apple? What is the result?Can you do the same operation using half an apple and one quarter of an orange? Why? What do you obtain when you remove one quarter of a watermelon from the whole watermelon? Can you multiply two halves of the same whole? Can you guess the result of this operation? What about if you divide the two above halves? (Recall what happens when you divide two equal amounts).Can you multiply three halves of the same whole? How do you write this operation in a shorter way? What is the inverse operation of addition? What about the inverse operation of multiplication? How can we write a whole number as a fraction? Give examples. In this tutorial, we will explain the operations with fractions - a very important topic where all the above questions will be answered.

Please select a specific "Operations with Fractions" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Fractions Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
3.4Operations with Fractions
Lesson IDMath Lesson TitleLessonVideo
3.4.1Addition of Fractions
3.4.2Addition of fractions with different denominators
3.4.3Addition of improper fractions and/or mixed numbers
3.4.4Subtraction of Fractions
3.4.5Multiplication of Fractions
3.4.6Division of Fractions
3.4.7Power of Fractions
3.4.8Application of PEMDAS Rule in Operations with Fractions
3.4.9Applications of Operations with Fractions in Practice

Whats next?

Enjoy the "Operations with Fractions" math tutorial? People who liked the "Operations with Fractions" tutorial found the following resources useful:

  1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  2. Fractions Video tutorial: Operations with Fractions. Watch or listen to the Operations with Fractions video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Fractions Revision Notes: Operations with Fractions. Print the notes so you can revise the key points covered in the math tutorial for Operations with Fractions
  4. Fractions Practice Questions: Operations with Fractions. Test and improve your knowledge of Operations with Fractions with example questins and answers
  5. Check your calculations for Fractions questions with our excellent Fractions calculators which contain full equations and calculations clearly displayed line by line. See the Fractions Calculators by iCalculator™ below.
  6. Continuing learning fractions - read our next math tutorial: Converting Fractions to Decimals and Vice-versa

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