Multiplying and Dividing Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. What is 23 × 34 × 45?
A) 25
B) 960
C) 13
D) 35
23 × 34 × 45. Cross-cancel: 3s → 1; one 4 and 4 → 1. Result: 21 × 11 × 15 = 25.
2. What is 56 ÷ 23?
A) 59
B) 109
C) 58
D) 54
56 ÷ 23 = 56 × 32 = 1512 = 54.
3. Simplify: 38 × 49 ÷ 13
A) 12
B) 16
C) 13
D) 23
38 × 49 = 1272 = 16. Then 16 ÷ 13 = 16 × 31 = 36 = 12.
4. What is 710 ÷ 75?
A) 12
B) 1
C) 4950
D) 750
710 ÷ 75 = 710 × 57 = 3570 = 12.
Part B: Fill in the Blank
Write the correct answer on each line.
1. 25 × 58 = 14.
25 × 58 = 1040 = 14. (Cross-cancel: 5s → 1; 2 and 8 → 1 and 4.)
2. 34 ÷ 916 = 34 × 169 = 113 as a mixed number.
34 × 169 = 4836 = 43 = 113.
3. 12 × 47 × 78 = 14.
Cross-cancel 7s: 12 × 41 × 18 = 416 = 14.
4. 56 ÷ 512 = 56 × 125 = 2.
56 × 125 = 6030 = 2. (Cross-cancel: 5s → 1; 12 and 6 → 2 and 1.)
5. 23 × 910 ÷ 35 = 1.
23 × 910 = 1830 = 35. Then 35 ÷ 35 = 1.