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Complete the following equivalent fractions by finding the missing number in each case.

Mathematics

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Step-by-step solution

24 steps

Here are the completed fractions:

Part a· 2 steps

  1. Observe the denominators.

    To change 4 to 8, we multiply by 2.

  2. Multiply the numerator by the same factor.

    24=2×24×2=48\frac{2}{4} = \frac{2 \times 2}{4 \times 2} = \frac{4}{8}

    The missing number is 4\boxed{\text{4}}.

Part b· 2 steps

  1. Observe the denominators.

    To change 4 to 8, we multiply by 2.

  2. Multiply the numerator by the same factor.

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

    The missing number is 6\boxed{\text{6}}.

Part c· 2 steps

  1. Observe the denominators.

    To change 5 to 10, we multiply by 2.

  2. Multiply the numerator by the same factor.

    25=2×25×2=410\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}

    The missing number is 4\boxed{\text{4}}.

Part d· 2 steps

  1. Observe the denominators.

    To change 5 to 10, we multiply by 2.

  2. Multiply the numerator by the same factor.

    45=4×25×2=810\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}

    The missing number is 8\boxed{\text{8}}.

Part e· 2 steps

  1. Observe the denominators.

    To change 8 to 16, we multiply by 2.

  2. Multiply the numerator by the same factor.

    58=5×28×2=1016\frac{5}{8} = \frac{5 \times 2}{8 \times 2} = \frac{10}{16}

    The missing number is 10\boxed{\text{10}}.

Part f· 2 steps

  1. Observe the denominators.

    To change 8 to 16, we multiply by 2.

  2. Multiply the numerator by the same factor.

    28=2×28×2=416\frac{2}{8} = \frac{2 \times 2}{8 \times 2} = \frac{4}{16}

    The missing number is 4\boxed{\text{4}}.

Part g· 2 steps

  1. Observe the denominators.

    To change 8 to 4, we divide by 2.

  2. Divide the numerator by the same factor.

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

    The missing number is 3\boxed{\text{3}}.

Part h· 2 steps

  1. Observe the denominators.

    To change 8 to 4, we divide by 2.

  2. Divide the numerator by the same factor.

    48=4÷28÷2=24\frac{4}{8} = \frac{4 \div 2}{8 \div 2} = \frac{2}{4}

    The missing number is 2\boxed{\text{2}}.

Part h(i)· 8 steps

  1. Observe the denominators.

    To change 10 to 5, we divide by 2.

  2. Divide the numerator by the same factor.

    210=2÷210÷2=15\frac{2}{10} = \frac{2 \div 2}{10 \div 2} = \frac{1}{5}

    The missing number is 1\boxed{\text{1}}.

    j)

  3. Observe the denominators.

    To change 10 to 5, we divide by 2.

  4. Divide the numerator by the same factor.

    410=4÷210÷2=25\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}

    The missing number is 2\boxed{\text{2}}.

    k)

  5. Observe the denominators.

    To change 4 to 2, we divide by 2.

  6. Divide the numerator by the same factor.

    24=2÷24÷2=12\frac{2}{4} = \frac{2 \div 2}{4 \div 2} = \frac{1}{2}

    The missing number is 1\boxed{\text{1}}.

    l)

  7. Observe the denominators.

    To change 4 to 2, we divide by 2.

  8. Divide the numerator by the same factor.

    44=4÷24÷2=22\frac{4}{4} = \frac{4 \div 2}{4 \div 2} = \frac{2}{2}

    The missing number is 2\boxed{\text{2}}.

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