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}

Answers:

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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