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Add these fractions. Use diagrams, fraction wall to help you. a) 1/5 + 2/5 + 1/5 c) 1/8 + 2/8 + 1/8 b) 1/6 + 2/6 + 3/6 d) 3/7 + 1/7 + 1/7

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Answers

4 parts
a

45\frac{4}{5}

b
1
c

34\frac{3}{4}

d

57\frac{5}{7}

Step-by-step solution

10 steps

Here are the solutions for adding the fractions:

Part a· 2 steps

  1. Add the numerators since the denominators are the same.

    15+25+15=1+2+15\frac{1}{5} + \frac{2}{5} + \frac{1}{5} = \frac{1+2+1}{5}

  2. Perform the addition in the numerator.

    1+2+15=45\frac{1+2+1}{5} = \frac{4}{5}

    The fraction is already in its simplest form.

    45\boxed{\frac{4}{5}}

Part b1

  1. Add the numerators since the denominators are the same.

    16+26+36=1+2+36\frac{1}{6} + \frac{2}{6} + \frac{3}{6} = \frac{1+2+3}{6}

  2. Perform the addition in the numerator.

    1+2+36=66\frac{1+2+3}{6} = \frac{6}{6}

  3. Simplify the fraction.

    66=1\frac{6}{6} = 1 1\boxed{1}

Part c

34\frac{3}{4}

  1. Add the numerators since the denominators are the same.

    18+28+18+28=1+2+1+28\frac{1}{8} + \frac{2}{8} + \frac{1}{8} + \frac{2}{8} = \frac{1+2+1+2}{8}

  2. Perform the addition in the numerator.

    1+2+1+28=68\frac{1+2+1+2}{8} = \frac{6}{8}

  3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2.

    68=6÷28÷2=34\frac{6}{8} = \frac{6 \div 2}{8 \div 2} = \frac{3}{4} 34\boxed{\frac{3}{4}}

Part d

57\frac{5}{7}

  1. Add the numerators since the denominators are the same.

    37+17+17=3+1+17\frac{3}{7} + \frac{1}{7} + \frac{1}{7} = \frac{3+1+1}{7}

  2. Perform the addition in the numerator.

    3+1+17=57\frac{3+1+1}{7} = \frac{5}{7}

    The fraction is already in its simplest form.

    57\boxed{\frac{5}{7}}
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