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To find the equivalent fraction for (1)/(10) with a denominator of 100, determine the factor by which the denominator was multiplied.

Mathematics

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Answers

3 parts
a
10
b
9
c
5
50

Step-by-step solution

6 steps

Here are the equivalent fractions for each problem:

Part a· 2 steps

  1. To find the equivalent fraction for 110\frac{1}{10} with a denominator of 100, determine the factor by which the denominator was multiplied.

    10×10=10010 \times 10 = 100
  2. Multiply the numerator by the same factor.

    1×10=101 \times 10 = 10

    So, 110=10100\frac{1}{10} = \frac{10}{100}.
    The missing numerator is 10\boxed{10}.

Part b9

  1. To find the equivalent fraction for 90100\frac{90}{100} with a denominator of 10, determine the factor by which the denominator was divided.

    100÷10=10100 \div 10 = 10
  2. Divide the numerator by the same factor.

    90÷10=990 \div 10 = 9

    So, 910=90100\frac{9}{10} = \frac{90}{100}.
    The missing numerator is 9\boxed{9}.

Part c5

  1. For the first blank, to change 12\frac{1}{2} to a fraction with a denominator of 10, multiply the denominator by 5 (2×5=102 \times 5 = 10).

    Multiply the numerator by 5.

    1×5=51 \times 5 = 5

    So, 12=510\frac{1}{2} = \frac{5}{10}.

  2. For the second blank, to change 12\frac{1}{2} to a fraction with a denominator of 100, multiply the denominator by 50 (2×50=1002 \times 50 = 100).

    Multiply the numerator by 50.

    1×50=501 \times 50 = 50

    So, 12=510=50100\frac{1}{2} = \frac{5}{10} = \frac{50}{100}.
    The missing numerators are 5\boxed{5} and 50\boxed{50}.

Part d

Step

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