Math Lesson 3.4.1 - Addition of Fractions

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Welcome to our Math lesson on Addition of Fractions, this is the first lesson of our suite of math lessons covering the topic of Operations with Fractions, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

Addition of Fractions

Let's begin with the addition of fractions since addition is the first operation considered chronologically. After being familiar with addition of fractions, you will then understand easier how to do the rest of operations with fractions. a) Addition of fractions with the same denominatorThis is the simplest type of addition of fractions. A typical example of addition of fractions with the same denominator is when we add 1/8 of a pizza (1 slice) and 3/8 of the same pizza (3 slices). Obviously, the result of this addition will be 4/8 of the given pizza (4 slices), as shown in the figure below. $Math Tutorials: Operations with Fractions Example$ From the above example, we can induce the general rule for addition of fractions with the same denominator:

a/c + b/c = (a + b)/c

where a and b are the numerators of the two fractions and c is their common denominator. The addition of fractions with the same denominator is that simple because both fractions have the same kind of division. Therefore, no extra steps are involved in such an operation.

Example 1

An employee completed 12/29 of his assigned task in the first day and 9/29 of the task in the second day. What part of the assigned task did the employee completed in two days?

Solution 1

We have to add the two above fractions to find the part of the task the employee completed in two days. We have

Part of the task completed in two days = 12/29 + 9/29 = 21/29 of the entire task

More Operations with Fractions Lessons and Learning Resources

Fractions Learning Material
Tutorial ID	Math Tutorial Title	Revision Notes	Revision Questions
3.4	Operations with Fractions
Lesson ID	Math Lesson Title	Lesson	Video Lesson
3.4.1	Addition of Fractions
3.4.2	Addition of fractions with different denominators
3.4.3	Addition of improper fractions and/or mixed numbers
3.4.4	Subtraction of Fractions
3.4.5	Multiplication of Fractions
3.4.6	Division of Fractions
3.4.7	Power of Fractions
3.4.8	Application of PEMDAS Rule in Operations with Fractions
3.4.9	Applications of Operations with Fractions in Practice

Whats next?

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

Addition Feedback. Helps other - Leave a rating for this addition (see below)
Fractions Math tutorial: Operations with Fractions. Read the Operations with Fractions math tutorial and build your math knowledge of Fractions
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
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
Fractions Practice Questions: Operations with Fractions. Test and improve your knowledge of Operations with Fractions with example questins and answers
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.
Continuing learning fractions - read our next math tutorial: Converting Fractions to Decimals and Vice-versa

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