Addition of Fractions Exercises – Set 2

Add the following fractions.

1.) \dfrac{1}{7} + \dfrac{2}{7}

2.) \dfrac{1}{12} + \dfrac{5}{12}

3.) \dfrac{7}{15} + \dfrac{2}{15} + \dfrac{6}{15}

4.) \dfrac{1}{3} + \dfrac{1}{4}

5.) \dfrac{2}{9} + \dfrac{1}{3}

6.) \dfrac{3}{8} + \dfrac{1}{4}

7.) 8 \dfrac{2}{3} + \dfrac{3}{2}

8.) \dfrac{1}{2} + \dfrac{2}{3} + \dfrac{3}{4}

9.) 7 \dfrac{2}{7} + 6 \dfrac{3}{14}

10.) 3 \dfrac{1}{4} + 2 \dfrac{1}{8}

Answer key and solution:

1.) \dfrac{3}{7}

2.) \dfrac{6}{12} = \dfrac{1}{2}

3.) \dfrac{15}{15} = 1

4.) \dfrac{7}{12}
Solution:
LCD: 12
\dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}

5.) \dfrac{5}{9}
Solution:
LCD: 9
\dfrac{2}{9} + \dfrac{3}{9} = \dfrac{5}{9}

6.) \dfrac{5}{8}
Solution:
LCD: 8
\dfrac{3}{8} + \dfrac{2}{8} = \dfrac{5}{8}

7.) 10 \dfrac{1}{6}
Solution:
LCD: 6

8 \dfrac{4}{6} + \dfrac{9}{6} = 8 \dfrac{13}{6} = 10 \dfrac{1}{6}

8.) 1 \dfrac{11}{12}
Solution:
LCD: 12

\dfrac{6}{12} + \dfrac{8}{12} + \dfrac{9}{12} = \dfrac{23}{12} = 1 \dfrac{11}{12}

9.) 13 \dfrac{1}{2}

Solution:
LCD: 14

7 \dfrac{4}{14} + 6 \dfrac{3}{14} = 13 \dfrac{7}{14} = 13 \dfrac{1}{2}

10.) 5 \dfrac{3}{8}

Solution:
LCD: 8

3 \dfrac{2}{8} + 2 \dfrac{1}{8} = 5 \dfrac{3}{8}

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