Fraction of a Fraction
This worksheet focuses on understanding and calculating the 'fraction of a fraction' concept, including real-world applications.
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Fraction of a Fraction
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Read each question carefully and show your work. Simplify all fractions to their lowest terms.
1. What is 1/2 of 1/4?
1/2
1/8
2/4
3/4
2. Sarah has 2/3 of a pie. She eats 1/2 of her portion. How much of the whole pie did she eat?
1/3
1/2
2/3
1/6
3. To find a fraction of a fraction, you need to the numerators and the denominators.
4. The product of 3/4 and 2/5 is .
5. A recipe calls for 3/4 cup of flour. If you only want to make 1/3 of the recipe, how much flour do you need? Draw a fraction bar diagram to illustrate your answer.
6. Multiplying a fraction by another fraction always results in a smaller number.
True
False
Match the fraction multiplication problem with its correct answer.
7. 1/3 × 1/2
a. 2/9
8. 2/3 × 1/3
b. 1/6
9. 3/5 × 1/2
c. 3/10
10. In a class, 3/5 of the students are girls. Of the girls, 1/4 have short hair. What fraction of the total students are girls with short hair?
11. A farmer planted corn on 5/6 of his field. Deer ate 2/3 of the corn. What fraction of the entire field was eaten by deer?