Solve Fraction Additions involving Mixed Numbers

In this activity, we will be adding fractions, including totals which form mixed numbers and improper fractions. 

Look at the fraction sum below.

3/5 + 4/5 = 7/5

This means 3 fifths + 4 fifths = 7 fifths.

7 fifths is an improper fraction.

7 ÷ 5 = 1 remainder 2.

7 fifths can be changed to the mixed number 1 and 2 fifths.

7/5 = 1 2/5

Let's try an example.

Example

Complete the fraction equation.

5/7 + 6/7 = ?

Answer

5/7 + 6/7 = 11/7

5 sevenths added to 6 sevenths = 11 sevenths.

11 sevenths is a top-heavy improper fraction.

11 ÷ 7 = 1 remainder 4

11 sevenths can be changed to the mixed number 1 and 4 sevenths.

So, 11/7 = 1 4/7

Are you ready to have a go at some questions now?