Fraction Division & Reciprocals — Worksheet

Fraction Division & Reciprocals

Worksheet

Open the Fraction Division & Reciprocals module. For each question, set the dividend and the divisor, then drag the corner until the shaded area matches the target. The width is the missing side.

Name: Date:

Part A: Find the missing side

1. Set the dividend to 2/3 and the divisor to 3/4. Drag the corner until the shaded area matches the target. What is the missing width? 1 pt
  • 8/9
  • 9/8
  • 1/2
  • 3/2
2. Set the dividend to 1/2 and the divisor to 3/4. Find the missing width. Write it as a fraction. 1 pt
3. Set the dividend to 2/3 and the divisor to 5/6. Find the missing width as a fraction. 1 pt
4. Set the dividend to 3/4 and the divisor to 7/8. Find the missing width as a fraction. 1 pt

Part B: The missing factor

5. For 2/3 ÷ 3/4 = 8/9, which multiplication checks the answer? 1 pt
  • 8/9 × 3/4 = 2/3
  • 8/9 × 4/3 = 2/3
  • 2/3 × 3/4 = 8/9
  • 4/3 × 3/4 = 2/3
6. Multiply: 8/9 × 3/4. Write the result as a fraction. 1 pt
7. Fill in the missing factor: ? × 3/4 = 1/2. Write the missing factor as a fraction. 1 pt

Part C: The reciprocal

8. What is the reciprocal of 3/4? 1 pt
  • 4/3
  • 3/4
  • 1/4
  • 4
9. Use the reciprocal to multiply: 2/3 × 4/3. Write the result as a fraction. 1 pt
10. Explain why dividing by 3/4 gives the same answer as multiplying by 4/3. Use the rectangle if it helps. 2 pts