Dividing Fractions — Worksheet

Dividing Fractions

Worksheet

Open the Dividing Fractions interactive. In How many fit, set the dividend and the divisor for each question, then drag the handle along the strip to the end. Switch to Share when a question says so.

Name: Date:

Part A: How many fit

1. Set the dividend to 3 and the divisor to 1/2. Drag the handle to the end of the strip. How many 1/2-pieces fit? 1 pt
  • 1/2
  • 3
  • 6
  • 12
2. Set the dividend to 4 and the divisor to 1/2. How many 1/2-pieces fit? 1 pt
Answer:
3. Set the dividend to 2 and the divisor to 1/3. How many 1/3-pieces fit? 1 pt
Answer:
4. Set the dividend to 1 and the divisor to 1/4. How many 1/4-pieces fit? 1 pt
Answer:
5. Set the dividend to 3 and the divisor to 2/3. Drag to the end. The last piece is only partly filled. Write the exact number of 2/3-pieces that fit, as a fraction or a decimal. 2 pts

Part B: Share

6. Switch to Share. Set the dividend to 1/2 and the shares to 3. What is the size of one share? 1 pt
  • 1/2
  • 1/6
  • 3/2
  • 2/3
7. Set the dividend to 1 and the shares to 4. Write the size of one share as a decimal. 1 pt
Answer:
8. Set the dividend to 3 and the shares to 5. Write the size of one share as a decimal. 1 pt
Answer:
9. Set the dividend to 2/3 and the shares to 2. Write the size of one share as a fraction. 1 pt

Part C: Reasoning

10. Divide 3 by 1/2, then divide 3 by 1. Which division gives the bigger answer? 2 pts
  • 3 divided by 1/2 is bigger
  • 3 divided by 1 is bigger
  • They are equal
11. Explain why dividing 3 by 1/2 gives a bigger answer than dividing 3 by 1. Use the strip to help. 2 pts