Fractions - Grade 5 Maths Questions With Solutions

Grade 5 maths multiple choice questions on fractions with answers are presented. Also Solutions and explanations are included.
Note that mixed numbers are written as follows: whole part followed by a proper fraction.
For example: $ 5 \dfrac{1}{2} $ is a mixed number meaning $ 5 +\dfrac{1}{2} $.
More resources on fractions are included.

Questions

Write $ 1 $ as a fraction.
1. $ \dfrac{1}{1} $ only
2. $ \dfrac{2}{2} $ only
3. $ \dfrac{3}{3} $ only
4. Any fraction of the form $\dfrac{n}{n} $ where $ n $ is a whole number
Solution

Write 5 as a reduced fraction.
1. $ \dfrac{5}{5} $
2. $ \dfrac{1}{5} $
3. $ \dfrac{5}{1} $
4. $ \dfrac{1}{1} $
Solution

\[ \dfrac{1}{4} + \dfrac{2}{4} = \]
1. $ \dfrac{3}{4} $
2. $ \dfrac{3}{8} $
3. $ \dfrac{7}{8} $
4. $ 3 $
Solution

\[ \dfrac{4}{7} - \dfrac{2}{7} = \]
1. $ \dfrac{2}{14} $
2. $ \dfrac{6}{7} $
3. $ \dfrac{2}{7} $
4. $ \dfrac{4}{7} $
Solution
\[ \dfrac{1}{5} + \dfrac{2}{3} = \]
1. $ \dfrac{3}{8} $
2. $ \dfrac{2}{15} $
3. $ \dfrac{1}{8} $
4. $ \dfrac{13}{15} $
Solution

\[ 3 \dfrac{1}{2} + 5 \dfrac{1}{3} \]
1. $ 8 $
2. $ 8 \dfrac{2}{5} $
3. $ 8 \dfrac{5}{6} $
4. $ \dfrac{2}{5} $
Solution

It takes Julia $ \dfrac{1}{2} $ hour to wash, comb her hair and put on her clothes, and $ \dfrac{1}{4} $ hour to have her breakfast. How much time does it take Julia to be ready for school?
1. $ \dfrac{3}{4} $ hour
2. 1 hour
3. $ \dfrac{2}{4} $ hour
4. 1 and $ \dfrac{1}{4} $ hours
Solution

Which two fractions are equivalent?
1. $ \dfrac{5}{2} $ and $ \dfrac{2}{5} $
2. $ \dfrac{4}{3} $ and $ \dfrac{8}{6} $
3. $ \dfrac{1}{4} $ and $ \dfrac{2}{4} $
4. $ \dfrac{2}{3} $ and $ \dfrac{1}{3} $
Solution
\[ 5 \dfrac{2}{3} - 3 \dfrac{1}{2} = \]
1. $ 2 $
2. $ 1 \dfrac{2}{5} $
3. $ 2 \dfrac{7}{6} $
4. $ 2 \dfrac{1}{6} $
Solution
Billy ate 1 and $ \dfrac{1}{4} $ of pizzas and John ate 1 and $ \dfrac{2}{3} $ pizzas. How much more pizza did John eat than Billy?
1. $ \dfrac{2}{3} $
2. $ \dfrac{5}{12} $
3. $ \dfrac{1}{4} $
4. $ \dfrac{7}{12} $
Solution

\[ \dfrac{5}{2} \div \dfrac{3}{4} \]
1. $ \dfrac{10}{3} $
2. $ \dfrac{10}{8} $
3. $ \dfrac{13}{4} $
4. $ 1 $
Solution

\[ 5 \div \dfrac{1}{7} \]
1. $ \dfrac{5}{7} $
2. $ \dfrac{6}{7} $
3. $ \dfrac{1}{35} $
4. $ 35 $
Solution-11

\[ \dfrac{2}{5} \times \dfrac{3}{7} \]
1. $ \dfrac{14}{15} $
2. $ \dfrac{6}{35} $
3. $ \dfrac{35}{6} $
4. $ \dfrac{15}{14} $
Solution

To have $ a + 1 \dfrac {3}{4} = 2 $ , $ a $ must be equal to
1. $ 1 $
2. $ \dfrac{3}{4}$
3. $ \dfrac{1}{2} $
4. $ \dfrac{1}{4} $
Solution

What fraction or mixed number is the shaded part?

$fraction, question 10$ .
1. $ \dfrac{3}{4} $
2. $ \dfrac{6}{4} $
3. $ 2 \dfrac{3}{4} $
4. $ 1 \dfrac{3}{4} $
Solution

True or false \[ 2 \dfrac{1}{2} = 2 \times \dfrac{1}{2} \] Solution

Tina works 15 hours a week (Monday to Friday). Last week she worked 3 and 1/2 hours on Monday, 4 hours on Tuesday, 2 and 1/6 hours on Wednesday and 1 and 1/2 hours on Thursday. How many hours did she work on Friday?
1. $ 4 $
2. $ \dfrac{5}{6} $
3. $ 3 \dfrac{5}{6} $
4. $ 2 \dfrac{5}{6} $
Solution

Which point on the number line represents $ 1 \dfrac{7}{10} $?

$fraction, question 13$ .
1. s
2. R
3. W
4. K
Solution

Write $ 2 \dfrac{1}{3} $ as an improper fraction.
1. $ \dfrac{2}{3} $
2. $ \dfrac{7}{3} $
3. $ \dfrac{1}{3} $
4. $ \dfrac{3}{3} $
Solution

Write the fraction $ \dfrac{31}{8} $ as a mixed number.
1. $ 4 $
2. $ 4 \dfrac{7}{8} $
3. $ 3 \dfrac{1}{8} $
4. $ 3 \dfrac{7}{8} $
Solution

\[ 3 \times \dfrac{1}{4} = \]
1. $ 3 \dfrac{1}{4} $
2. $ \dfrac{1}{4} + \dfrac{1}{4} + \dfrac{1}{4} $
3. $ \dfrac{1}{4} $
4. $ 12 $
Solution

\[ 3 \dfrac{1}{4} = \]
1. $ 3 \times \dfrac{1}{4} $
2. $ \dfrac{3}{4} $
3. $ 3 + \dfrac{1}{4} $
4. $ \dfrac{4}{3} $
Solution

True or false \[ \dfrac{2}{5} \gt \dfrac{3}{8} \] Solution

Order from least to greatest the fractions \[ \dfrac{3}{5} \; , \; \dfrac{7}{6} \; , \; \dfrac{1}{3} \; , \; \dfrac{4}{9} \]
1. $ \dfrac{1}{3} \; , \; \dfrac{4}{9} \; , \; \dfrac{3}{5} \; , \; \dfrac{7}{6} $
2. $ \dfrac{4}{9} \; , \; \dfrac{1}{3} \; , \; \dfrac{3}{5} \; , \; \dfrac{7}{6} $
3. $ \dfrac{1}{3} \; , \; \dfrac{4}{9} \; , \; \dfrac{7}{6} \; , \; \dfrac{3}{5} $
4. $ \dfrac{1}{3} \; , \; \dfrac{3}{5} \; , \; \dfrac{4}{9} \; , \; \dfrac{7}{6} $
Solution

Write $ \dfrac{2}{3} $ of $ 4 $ as a mixed number.
1. $ 4 \dfrac{2}{3} $
2. $ 1 \dfrac{2}{3} $
3. $ 2 \dfrac{2}{3} $
4. $ \dfrac{8}{3} $
Solution

How many minutes are there in $ \dfrac{2}{3} $ of an hour?
1. 40 minutes
2. 60 minutes
3. 20 minutes
4. 100 minutes
Solution

In the figure below, a large square was divided into 16 smaller squares of equal sides.
What fraction of the large square is red?
What fraction of the large square is blue?
What fraction of the large square is orange?
What fraction of the large square is green?
What fraction of the large square is black?
What fraction of the large square is yellow?

$fraction, question 20$ .
1. red: $ \dfrac{1}{4} $ , blue: $ \dfrac{1}{16} $ , orange: $ \dfrac{1}{16} $, green: $ \dfrac{3}{16} $, black: $ \dfrac{3}{16} $, yellow: $ \dfrac{3}{16} $
2. red: $ \dfrac{4}{4} $ , blue: $ \dfrac{1}{16} $ , orange: $ \dfrac{1}{16} $ , green:$ \dfrac{3}{32} $ , black: $ \dfrac{3}{16} $ , yellow: $ \dfrac{3}{16} $
3. red: $ \dfrac{1}{4} $ , blue: $ \dfrac{1}{16} $ , orange: $ \dfrac{1}{16} $ , green: $ \dfrac{3}{16} $ , black: $ \dfrac{3}{16} $ , yellow: $ \dfrac{3}{16} $
4. red: $ \dfrac{1}{4} $ , blue: $ \dfrac{1}{16} $ , orange: $ \dfrac{1}{32} $ , green: $ \dfrac{3}{32} $ , black: $ \dfrac{3}{16} $ , yellow: $ \dfrac{3}{16} $
Solution