Year 5 — Adding & Subtracting Fractions with Related Denominators

Name: ________________________Date: __________

Solve each problem. Show your working where space allows. Simplify answers where possible.

1.
Calculate $\frac{1}{4} + \frac{3}{4}$ .
2.
Calculate $\frac{5}{8} - \frac{3}{8}$ .
3.
Calculate $\frac{1}{2} + \frac{3}{8}$ . Use the fraction bars below to help.
(2 marks)
4.
Calculate $\frac{3}{4} - \frac{1}{8}$ . Use the fraction bars below to help.
(2 marks)
5.
$\frac{1}{3} + \frac{1}{6} =$ ___
6.
$\frac{5}{6} - \frac{1}{3} =$ ___
7.
Calculate $\frac{3}{4} + \frac{5}{8}$ . Give your answer as a mixed number.
(2 marks)
8.
Which of the following is equal to $\frac{1}{2} + \frac{1}{4}$ ?
1. A. $\frac{2}{6}$
2. B. $\frac{3}{4}$
3. C. $\frac{2}{4}$
4. D. $\frac{3}{8}$
9.
Sam spent $\frac{1}{2}$ of his pocket money on a book, $\frac{1}{6}$ on a snack, and saved the rest. What fraction of his pocket money did he save?
(3 marks)

Answer Key

1.
1
Both denominators are the same — add numerators: 1 + 3 = 4, so 4/4 = 1.
2.
$\frac{1}{4}$
5 − 3 = 2, giving 2/8. Simplify: 2/8 = 1/4.
3.
$\frac{7}{8}$
Convert 1/2 to 4/8. Then 4/8 + 3/8 = 7/8.
4.
$\frac{5}{8}$
Convert 3/4 to 6/8. Then 6/8 − 1/8 = 5/8.
5.
$\frac{1}{2}$
Convert 1/3 to 2/6. Then 2/6 + 1/6 = 3/6 = 1/2.
6.
$\frac{1}{2}$
Convert 1/3 to 2/6. Then 5/6 − 2/6 = 3/6 = 1/2.
7.
$1 \frac{3}{8}$
Convert 3/4 to 6/8. Then 6/8 + 5/8 = 11/8 = 1 and 3/8.
8.
B. $\frac{3}{4}$
Convert 1/2 to 2/4. Then 2/4 + 1/4 = 3/4.
9.
$\frac{1}{3}$
Convert 1/2 to 3/6. Total spent = 3/6 + 1/6 = 4/6 = 2/3. Saved = 1 − 2/3 = 1/3.