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Solve the following fraction addition problems: 3/8 + 2/8, 1/6 + 3/6, 4/8 + 2/8

Mathematics

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Answers

3 parts
a

34\frac{3}{4}

b

23\frac{2}{3}

c

58\frac{5}{8}

Step-by-step solution

8 steps

Here are the solutions for adding the fractions:

Part a· 3 steps

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

    48+28=4+28\frac{4}{8} + \frac{2}{8} = \frac{4+2}{8}

  2. Simplify the numerator.

    4+28=68\frac{4+2}{8} = \frac{6}{8}

  3. Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, which is 2.

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

    The image shows a visual representation of 48\frac{4}{8} and 28\frac{2}{8} being added.

Part b

23\frac{2}{3}

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

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

  2. Simplify the numerator.

    1+36=46\frac{1+3}{6} = \frac{4}{6}

  3. Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, which is 2.

    4÷26÷2=23\frac{4 \div 2}{6 \div 2} = \boxed{\frac{2}{3}}

    The image shows a visual representation of 16\frac{1}{6} and 36\frac{3}{6} being added.

Part c

58\frac{5}{8}

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

    38+28=3+28\frac{3}{8} + \frac{2}{8} = \frac{3+2}{8}

  2. Simplify the numerator.

    3+28=58\frac{3+2}{8} = \boxed{\frac{5}{8}}

    The image shows a visual representation of 38\frac{3}{8} and 28\frac{2}{8} being added.

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