Sure! Below is a sample unit test for multiplying and dividing fractions. You can use this as a study guide or practice tool.
Multiply and Divide Fractions Unit Test
Instructions: Solve the following problems. Show all your work for full credit.
Part A: Multiply the following fractions.
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\( \frac{2}{3} \times \frac{4}{5} \)
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\( \frac{7}{8} \times \frac{3}{4} \)
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\( \frac{5}{6} \times \frac{2}{3} \)
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\( \frac{1}{2} \times \frac{2}{5} \)
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\( \frac{9}{10} \times \frac{1}{3} \)
Part B: Divide the following fractions.
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\( \frac{3}{4} \div \frac{2}{5} \)
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\( \frac{5}{6} \div \frac{1}{2} \)
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\( \frac{7}{10} \div \frac{3}{5} \)
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\( \frac{1}{3} \div \frac{4}{7} \)
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\( \frac{8}{9} \div \frac{2}{3} \)
Part C: Word Problems.
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A recipe calls for \( \frac{3}{4} \) cup of flour. If you want to make \( \frac{2}{3} \) of the recipe, how much flour will you need?
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A box contains \( \frac{5}{6} \) of a pound of candy. If you share it equally among \( \frac{3}{4} \) of your friends, how much candy will each friend get?
Part D: Mixed Problems.
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Multiply: \( \frac{1}{4} \times \frac{8}{3} \)
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Divide: \( \frac{2}{5} \div \frac{4}{9} \)
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You have a ribbon that is \( \frac{9}{10} \) of a yard long. You cut it into pieces that are \( \frac{1}{5} \) of a yard long. How many pieces do you have?
Answer Key
Part A:
- \( \frac{8}{15} \)
- \( \frac{21}{32} \)
- \( \frac{10}{18} = \frac{5}{9} \)
- \( \frac{2}{10} = \frac{1}{5} \)
- \( \frac{9}{30} = \frac{3}{10} \)
Part B: 6. \( \frac{15}{8} = 1 \frac{7}{8} \) 7. \( \frac{5}{3} = 1 \frac{2}{3} \) 8. \( \frac{14}{30} = \frac{7}{15} \) 9. \( \frac{7}{12} \) 10. \( \frac{12}{9} = \frac{4}{3} = 1 \frac{1}{3} \)
Part C: 11. \( \frac{1}{2} \) cup of flour. 12. \( \frac{10}{18} = \frac{5}{9} \) pound of candy per friend.
Part D: 13. \( \frac{2}{3} \) 14. \( \frac{1}{2} \) 15. 4 pieces.
Feel free to adjust any of the questions or add difficulty levels as needed!