## Subtraction of Fractions Exercises – Set 1

Find the difference of the following:

1.) $\dfrac{8}{11} - \dfrac{3}{11}$

2.) $\dfrac{7}{16} - \dfrac{3}{16}$

3.) $\dfrac{4}{5} - \dfrac{3}{4}$

4.) $7 - \dfrac{4}{9}$

5.) $8 \dfrac{9}{10} - \dfrac{3}{10}$

6.) $6 \dfrac{2}{7} - \dfrac{5}{7}$

7.) $4 \dfrac{1}{3} - \dfrac{1}{6}$

8.) $6 \dfrac{3}{5} - 2 \dfrac{3}{4}$

9.) $11 \dfrac{2}{3} - 7$

10.) $9 \dfrac{2}{5} - \dfrac{11}{9}$

1.) $\dfrac{5}{11}$

2.) $\dfrac{1}{4}$

Solution
$\dfrac{7}{16} - \dfrac{3}{6} = \dfrac{4}{16} = \dfrac{1}{4}$

3.) $\dfrac{1}{20}$

Solution
LCD: 20
$\dfrac{4}{5} - \dfrac{3}{4} = \dfrac{16}{20} - \dfrac{15}{20} = \dfrac{1}{20}$

4.) $6 \dfrac{5}{9}$

Solution

We can decompose 7 into 6 and 9/9.

$6 \dfrac{9}{9} - \dfrac{4}{9} = 6 \dfrac{5}{9}$

5.) $8 \dfrac{3}{5}$

Solution
$8 \dfrac{9}{10} - \dfrac{3}{10} = 8 \dfrac{6}{10} = 8 \dfrac{3}{5}$

6.) $5 \dfrac{4}{7}$

Solution
$5 \dfrac{9}{7} - \dfrac{5}{7} = 5 \dfrac{4}{7}$

7.) $4 \dfrac{1}{6}$

Solution
LCD: 6
$4 \dfrac{1}{3} - \dfrac{1}{6} = 4 \dfrac{2}{6} - \dfrac{1}{6} = 4 \dfrac{1}{6}$

8.) $3 \dfrac{17}{20}$

Solution
LCD: 20
$5 \dfrac{8}{5} - 2 \dfrac{3}{4} = 5 \dfrac{32}{20} - 2 \dfrac{15}{20} = 3 \dfrac{17}{20}$

9.) $4 \dfrac{2}{3}$

Solution
$11 \dfrac{2}{3} - 7 = 4 \dfrac{2}{3}$

10.) $8 \dfrac{8}{45}$

Solution
$9 \dfrac{2}{5} - \dfrac{11}{9} = 8 \dfrac{7}{5} - \dfrac{11}{9}$

LCD: 45
$8 \dfrac{63}{45} - \dfrac{55}{45} = 8 \dfrac{8}{45}$

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