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Adding Unit Fractions

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Adding Unit Fractions

A unit fraction has a numerator of 1. For example, 1/6 + 1/6 = 2/6. Show your thinking where you can.

Recognise and add

1.Which group contains only unit fractions?

1/3 and 1/7
2/3 and 1/7
1/3 and 3/7
2/3 and 3/7

2.Choose the sum of 1/4 + 1/4.

3.For fractions with the same denominator, which part stays unchanged when you add them?

The numerator
The denominator
Both the numerator and denominator
Neither part

4.What is 1/5 + 1/5 + 1/5?

1/5
3/5
3/15
1 whole

Practise adding

5.Work out 1/8 + 1/8.

6.Work out 1/4 + 1/4.

7.Work out 1/8 + 1/8 + 1/8.

8.Work out 1/4 + 1/4 + 1/4 + 1/4.

9.A fire station practice board is divided into 6 equal sections. Isla marks 1/6 of it, then Levi marks another 1/6. What fraction of the board is marked altogether?

Show what you know

10.Write three different addition sentences using unit fractions with matching denominators. Each sentence must make exactly 1 whole.

11.The fraction bar is split into 8 equal parts. One part is shaded. Write the shaded amount as a unit fraction.

12.Explain how to add unit fractions when their denominators match.

Challenge

13.Calculate 1/4 + 1/4 + 1/4 + 1/4 + 1/4. Write your answer as a mixed number or as an improper fraction.

14.At the fire station, Nikau drinks 1/8 of a bottle of water after one practice and another 1/8 after the next. Isla drinks 2/8 of the same-sized bottle. What fraction of one bottle do they drink altogether?