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Convert the given fractions to decimals.

Mathematics

ScanSolve AI Answer

Step-by-step solution

15 steps

1. Express each fraction as a decimal.

a) 114100\frac{114}{100}

  1. Divide the numerator by the denominator.

    114100=1.14\frac{114}{100} = 1.14

    The decimal is 1.14\boxed{\text{1.14}}.

    b) 7100\frac{7}{100}

  2. Divide the numerator by the denominator.

    7100=0.07\frac{7}{100} = 0.07

    The decimal is 0.07\boxed{\text{0.07}}.

    c) 1810\frac{18}{10}

  3. Divide the numerator by the denominator.

    1810=1.8\frac{18}{10} = 1.8

    The decimal is 1.8\boxed{\text{1.8}}.

    d) 199100\frac{199}{100}

  4. Divide the numerator by the denominator.

    199100=1.99\frac{199}{100} = 1.99

    The decimal is 1.99\boxed{\text{1.99}}.

    e) 19991000\frac{1999}{1000}

  5. Divide the numerator by the denominator.

    19991000=1.999\frac{1999}{1000} = 1.999

    The decimal is 1.999\boxed{\text{1.999}}.

    2. Write the following fractions as decimals.

    a) 92\frac{9}{2}

  6. Divide the numerator by the denominator.

    92=4.5\frac{9}{2} = 4.5

    The decimal is 4.5\boxed{\text{4.5}}.

    b) 14\frac{1}{4}

  7. Divide the numerator by the denominator.

    14=0.25\frac{1}{4} = 0.25

    The decimal is 0.25\boxed{\text{0.25}}.

    c) 194\frac{19}{4}

  8. Divide the numerator by the denominator.

    194=4.75\frac{19}{4} = 4.75

    The decimal is 4.75\boxed{\text{4.75}}.

    d) 9994\frac{999}{4}

  9. Divide the numerator by the denominator.

    9994=249.75\frac{999}{4} = 249.75

    The decimal is 249.75\boxed{\text{249.75}}.

    3. Write the following decimals. Round your answer to 2 decimal places.

    a) 16\frac{1}{6}

  10. Divide the numerator by the denominator.

    16≈0.1666...\frac{1}{6} \approx 0.1666...
  11. Round to 2 decimal places.

    The third decimal place is 6, which is 5 or greater, so round up the second decimal place.

    0.1666...≈0.170.1666... \approx 0.17

    The rounded decimal is 0.17\boxed{\text{0.17}}.

    b) 17\frac{1}{7}

  12. Divide the numerator by the denominator.

    17≈0.1428...\frac{1}{7} \approx 0.1428...
  13. Round to 2 decimal places.

    The third decimal place is 2, which is less than 5, so keep the second decimal place as it is.

    0.1428...≈0.140.1428... \approx 0.14

    The rounded decimal is 0.14\boxed{\text{0.14}}.

    c) 114\frac{1}{14}

  14. Divide the numerator by the denominator.

    114≈0.0714...\frac{1}{14} \approx 0.0714...
  15. Round to 2 decimal places.

    The third decimal place is 1, which is less than 5, so keep the second decimal place as it is.

    0.0714...≈0.070.0714... \approx 0.07

    The rounded decimal is 0.07\boxed{\text{0.07}}.

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