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Copy and complete the following fraction to decimal conversions: 43/100, 9/10, 2/5, 1/4

Mathematics

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Step-by-step solution

10 steps

Here are the solutions for the fraction problems.

1. Copy and complete: 43100=‾\frac{43}{100} = \underline{\hspace{1cm}}

  1. To convert a fraction with a denominator of 100 to a decimal, place the numerator after the decimal point, ensuring there are two decimal places.

    43100=0,43\frac{43}{100} = 0,43

    The completed expression is: 0,43\boxed{0,43}

    2. Copy and complete: 910=‾\frac{9}{10} = \underline{\hspace{1cm}}

  2. To convert a fraction with a denominator of 10 to a decimal, place the numerator after the decimal point, ensuring there is one decimal place.

    910=0,9\frac{9}{10} = 0,9

    The completed expression is: 0,9\boxed{0,9}

    3. Copy and complete: 25=□10=‾\frac{2}{5} = \frac{\square}{10} = \underline{\hspace{1cm}}

  3. Convert 25\frac{2}{5} to an equivalent fraction with a denominator of 10.

    To get 10 from 5, multiply by 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}
  4. Convert 410\frac{4}{10} to a decimal.

    410=0,4\frac{4}{10} = 0,4

    The completed expression is: 410=0,4\boxed{\frac{4}{10} = 0,4}

    4. Copy and complete: 14=□100=‾\frac{1}{4} = \frac{\square}{100} = \underline{\hspace{1cm}}

  5. Convert 14\frac{1}{4} to an equivalent fraction with a denominator of 100.

    To get 100 from 4, multiply by 25. Multiply the numerator by the same factor.

    14=1×254×25=25100\frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100}
  6. Convert 25100\frac{25}{100} to a decimal.

    25100=0,25\frac{25}{100} = 0,25

    The completed expression is: 25100=0,25\boxed{\frac{25}{100} = 0,25}

    5. Copy and complete: 1120=□100=‾\frac{11}{20} = \frac{\square}{100} = \underline{\hspace{1cm}}

  7. Convert 1120\frac{11}{20} to an equivalent fraction with a denominator of 100.

    To get 100 from 20, multiply by 5. Multiply the numerator by the same factor.

    1120=11×520×5=55100\frac{11}{20} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}
  8. Convert 55100\frac{55}{100} to a decimal.

    55100=0,55\frac{55}{100} = 0,55

    The completed expression is: 55100=0,55\boxed{\frac{55}{100} = 0,55}

    6. Copy and complete: 1920=□100=‾\frac{19}{20} = \frac{\square}{100} = \underline{\hspace{1cm}}

  9. Convert 1920\frac{19}{20} to an equivalent fraction with a denominator of 100.

    To get 100 from 20, multiply by 5. Multiply the numerator by the same factor.

    1920=19×520×5=95100\frac{19}{20} = \frac{19 \times 5}{20 \times 5} = \frac{95}{100}
  10. Convert 95100\frac{95}{100} to a decimal.

    95100=0,95\frac{95}{100} = 0,95

    The completed expression is: 95100=0,95\boxed{\frac{95}{100} = 0,95}

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