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