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Convert (3)/(4) to an equivalent fraction with a denominator of 8.

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Answers

4 parts
a

58\frac{5}{8}

b

48\frac{4}{8}

c

14\frac{1}{4}

d

612\frac{6}{12}

Step-by-step solution

8 steps

Here are the completed fraction sums:

Part a· 2 steps

  1. Convert 34\frac{3}{4} to an equivalent fraction with a denominator of 8.

    34=3×24×2=68\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}

  2. Subtract the given fraction from the equivalent fraction to find the missing fraction.

    68−18=58\frac{6}{8} - \frac{1}{8} = \frac{5}{8}

    So, 34=18+58\frac{3}{4} = \frac{1}{8} + \boxed{\frac{5}{8}}.

Part b

48\frac{4}{8}

  1. Convert 34\frac{3}{4} to an equivalent fraction with a denominator of 8.

    34=3×24×2=68\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}

  2. Subtract the given fraction from the equivalent fraction to find the missing fraction.

    68−28=48\frac{6}{8} - \frac{2}{8} = \frac{4}{8}

    So, 34=28+48\frac{3}{4} = \frac{2}{8} + \boxed{\frac{4}{8}}.

Part c

14\frac{1}{4}

  1. Convert 12\frac{1}{2} to an equivalent fraction with a denominator of 4.

    12=1×22×2=24\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}

  2. Subtract the equivalent fraction from 34\frac{3}{4} to find the missing fraction.

    34−24=14\frac{3}{4} - \frac{2}{4} = \frac{1}{4}

    So, 34=12+14\frac{3}{4} = \frac{1}{2} + \boxed{\frac{1}{4}}.

Part d

612\frac{6}{12}

  1. Convert 34\frac{3}{4} to an equivalent fraction with a denominator of 12.

    34=3×34×3=912\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}

  2. Subtract the given fraction from the equivalent fraction to find the missing fraction.

    912−312=612\frac{9}{12} - \frac{3}{12} = \frac{6}{12}

    So, 34=312+612\frac{3}{4} = \frac{3}{12} + \boxed{\frac{6}{12}}.

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