Converting Fractions to Decimals
Practice converting fractions into their equivalent decimal forms, including terminating and repeating decimals.
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Converting Fractions to Decimals
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Read each question carefully and convert the given fractions to their decimal equivalents. Show your work where applicable.
Convert the following fractions to terminating decimals:
1. \( \frac{3}{4} \) =
2. \( \frac{7}{10} \) =
3. \( \frac{5}{8} \) =
4. \( \frac{13}{20} \) =
Convert the following fractions to repeating decimals. Use bar notation to indicate the repeating part.
5. Convert \( \frac{1}{3} \) to a decimal.
6. Convert \( \frac{2}{9} \) to a decimal.
7. Convert \( \frac{5}{11} \) to a decimal.
8. Which of the following fractions is equivalent to 0.6?
\( \frac{3}{6} \)
\( \frac{6}{10} \)
\( \frac{6}{100} \)
\( \frac{1}{6} \)
9. What is the decimal equivalent of \( \frac{7}{8} \)?
0.78
0.87
0.875
0.785
Determine if the following statements are true or false.
10. The fraction \( \frac{1}{2} \) is equivalent to the decimal 0.5.
True
False
11. The decimal 0.33 represents the fraction \( \frac{1}{3} \) exactly.
True
False
12. A recipe calls for \( \frac{3}{5} \) cup of flour. What is this amount as a decimal?
13. Sarah ran \( \frac{7}{10} \) of a mile. John ran 0.75 of a mile. Who ran further? Explain your answer by converting both distances to the same format.