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Change the vulgar fractions below to decimal fractions and change the decimal fractions below to vulgar fractions.

Mathematics

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Step-by-step solution

56 steps

Here are the solutions for converting fractions to decimals and vice versa.

Part a· 18 steps

Change the vulgar fractions below to decimal fractions

  1. 510\frac{5}{10}

  1. Divide the numerator by the denominator.

    $$
5 \div 10 = \boxed{0.5}
$$

    2. 710\frac{7}{10}

  2. Divide the numerator by the denominator.

    $$
7 \div 10 = \boxed{0.7}
$$

    3. 8100\frac{8}{100}

  3. Divide the numerator by the denominator.

    $$
8 \div 100 = \boxed{0.08}
$$

    4. 7100\frac{7}{100}

  4. Divide the numerator by the denominator.

    $$
7 \div 100 = \boxed{0.07}
$$

    5. 910\frac{9}{10}

  5. Divide the numerator by the denominator.

    $$
9 \div 10 = \boxed{0.9}
$$

    6. 9100\frac{9}{100}

  6. Divide the numerator by the denominator.

    $$
9 \div 100 = \boxed{0.09}
$$

    8. 12100\frac{12}{100}

  7. Divide the numerator by the denominator.

    $$
12 \div 100 = \boxed{0.12}
$$

    9. 13100\frac{13}{100}

  8. Divide the numerator by the denominator.

    $$
13 \div 100 = \boxed{0.13}
$$

    10. 610\frac{6}{10}

  9. Divide the numerator by the denominator.

    $$
6 \div 10 = \boxed{0.6}
$$

    11. 210\frac{2}{10}

  10. Divide the numerator by the denominator.

    $$
2 \div 10 = \boxed{0.2}
$$

    12. 2100\frac{2}{100}

  11. Divide the numerator by the denominator.

    $$
2 \div 100 = \boxed{0.02}
$$

    13. 17100\frac{17}{100}

  12. Divide the numerator by the denominator.

    $$
17 \div 100 = \boxed{0.17}
$$

    15. 25100\frac{25}{100}

  13. Divide the numerator by the denominator.

    $$
25 \div 100 = \boxed{0.25}
$$

    16. 31100\frac{31}{100}

  14. Divide the numerator by the denominator.

    $$
31 \div 100 = \boxed{0.31}
$$

    17. 23100\frac{23}{100}

  15. Divide the numerator by the denominator.

    $$
23 \div 100 = \boxed{0.23}
$$

    18. 19100\frac{19}{100}

  16. Divide the numerator by the denominator.

    $$
19 \div 100 = \boxed{0.19}
$$

    19. 16100\frac{16}{100}

  17. Divide the numerator by the denominator.

    $$
16 \div 100 = \boxed{0.16}
$$

    20. 14100\frac{14}{100}

  18. Divide the numerator by the denominator.

    $$
14 \div 100 = \boxed{0.14}
$$

Part b· 38 steps

Change the decimal fractions below to vulgar fractions

  1. 0.6

  1. Write the decimal as a fraction with a denominator of 10.

    $$
0.6 = \frac{6}{10}
$$

  2. Simplify the fraction.

    $$
\frac{6 \div 2}{10 \div 2} = \boxed{\frac{3}{5}}
$$

    2. 0.32

  3. Write the decimal as a fraction with a denominator of 100.

    $$
0.32 = \frac{32}{100}
$$

  4. Simplify the fraction.

    $$
\frac{32 \div 4}{100 \div 4} = \boxed{\frac{8}{25}}
$$

    3. 0.27

  5. Write the decimal as a fraction with a denominator of 100.

    $$
0.27 = \boxed{\frac{27}{100}}
$$

    4. 0.35

  6. Write the decimal as a fraction with a denominator of 100.

    $$
0.35 = \frac{35}{100}
$$

  7. Simplify the fraction.

    $$
\frac{35 \div 5}{100 \div 5} = \boxed{\frac{7}{20}}
$$

    5. 0.8

  8. Write the decimal as a fraction with a denominator of 10.

    $$
0.8 = \frac{8}{10}
$$

  9. Simplify the fraction.

    $$
\frac{8 \div 2}{10 \div 2} = \boxed{\frac{4}{5}}
$$

    6. 0.74

  10. Write the decimal as a fraction with a denominator of 100.

    $$
0.74 = \frac{74}{100}
$$

  11. Simplify the fraction.

    $$
\frac{74 \div 2}{100 \div 2} = \boxed{\frac{37}{50}}
$$

    8. 0.9

  12. Write the decimal as a fraction with a denominator of 10.

    $$
0.9 = \boxed{\frac{9}{10}}
$$

    9. 0.71

  13. Write the decimal as a fraction with a denominator of 100.

    $$
0.71 = \boxed{\frac{71}{100}}
$$

    10. 0.5

  14. Write the decimal as a fraction with a denominator of 10.

    $$
0.5 = \frac{5}{10}
$$

  15. Simplify the fraction.

    $$
\frac{5 \div 5}{10 \div 5} = \boxed{\frac{1}{2}}
$$

    11. 0.42

  16. Write the decimal as a fraction with a denominator of 100.

    $$
0.42 = \frac{42}{100}
$$

  17. Simplify the fraction.

    $$
\frac{42 \div 2}{100 \div 2} = \boxed{\frac{21}{50}}
$$

    12. 0.11

  18. Write the decimal as a fraction with a denominator of 100.

    $$
0.11 = \boxed{\frac{11}{100}}
$$

    13. 0.53

  19. Write the decimal as a fraction with a denominator of 100.

    $$
0.53 = \boxed{\frac{53}{100}}
$$

    15. 0.13

  20. Write the decimal as a fraction with a denominator of 100.

    $$
0.13 = \boxed{\frac{13}{100}}
$$

    16. 0.25

  21. Write the decimal as a fraction with a denominator of 100.

    $$
0.25 = \frac{25}{100}
$$

  22. Simplify the fraction.

    $$
\frac{25 \div 25}{100 \div 25} = \boxed{\frac{1}{4}}
$$

    17. 0.15

  23. Write the decimal as a fraction with a denominator of 100.

    $$
0.15 = \frac{15}{100}
$$

  24. Simplify the fraction.

    $$
\frac{15 \div 5}{100 \div 5} = \boxed{\frac{3}{20}}
$$

    18. 0.38

  25. Write the decimal as a fraction with a denominator of 100.

    $$
0.38 = \frac{38}{100}
$$

  26. Simplify the fraction.

    $$
\frac{38 \div 2}{100 \div 2} = \boxed{\frac{19}{50}}
$$

    19. 0.21

  27. Write the decimal as a fraction with a denominator of 100.

    $$
0.21 = \boxed{\frac{21}{100}}
$$

    20. 0.61

  28. Write the decimal as a fraction with a denominator of 100.

    $$
0.61 = \boxed{\frac{61}{100}}
$$

    22. 0.4

  29. Write the decimal as a fraction with a denominator of 10.

    $$
0.4 = \frac{4}{10}
$$

  30. Simplify the fraction.

    $$
\frac{4 \div 2}{10 \div 2} = \boxed{\frac{2}{5}}
$$

    23. 0.63

  31. Write the decimal as a fraction with a denominator of 100.

    $$
0.63 = \boxed{\frac{63}{100}}
$$

    24. 0.27

  32. Write the decimal as a fraction with a denominator of 100.

    $$
0.27 = \boxed{\frac{27}{100}}
$$

    25. 0.57

  33. Write the decimal as a fraction with a denominator of 100.

    $$
0.57 = \boxed{\frac{57}{100}}
$$

    26. 0.43

  34. Write the decimal as a fraction with a denominator of 100.

    $$
0.43 = \boxed{\frac{43}{100}}
$$

    27. 0.7

  35. Write the decimal as a fraction with a denominator of 10.

    $$
0.7 = \boxed{\frac{7}{10}}
$$

    29. 0.24

  36. Write the decimal as a fraction with a denominator of 100.

    $$
0.24 = \frac{24}{100}
$$

  37. Simplify the fraction.

    $$
\frac{24 \div 4}{100 \div 4} = \boxed{\frac{6}{25}}
$$

    30. 0.17

  38. Write the decimal as a fraction with a denominator of 100.

    $$
0.17 = \boxed{\frac{17}{100}}
$$
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