Students simplify three multi-step fraction expressions involving chained multiplication and division, including 2/3 × 3/4 × 4/5 and 3/8 × 4/9 ÷ 1/3. Part B has five fill-in-the-blank problems with fraction products, division using the reciprocal, and three-factor multiplication chains.
Chained fraction multiplication and division — including cross-simplification before multiplying — is the highest-order fraction computation skill at Grade 5 and builds the algebraic fluency needed in middle school.
Style:
Multiplying and Dividing Fractions
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
2. What is 56 ÷ 23?
A) 59
B) 109
C) 58
D) 54
3. Simplify: 38 × 49 ÷ 13
A) 12
B) 16
C) 13
D) 23
4. What is 710 ÷ 75?
A) 12
B) 1
C) 4950
D) 750
Part B: Fill in the Blank
Write the correct answer on each line.
1. 25 × 58 = 14.
2. 34 ÷ 916 = 34 × 169 = 113 as a mixed number.
3. 12 × 47 × 78 = 14.
4. 56 ÷ 512 = 56 × 125 = 2.
5. 23 × 910 ÷ 35 = 1.
Multiplying and Dividing Fractions
★ 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
2. What is 56 ÷ 23?
A) 59
B) 109
C) 58
D) 54
3. Simplify: 38 × 49 ÷ 13
A) 12
B) 16
C) 13
D) 23
4. What is 710 ÷ 75?
A) 12
B) 1
C) 4950
D) 750
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) 2/5 × 5/8 = 1/4.
2) 3/4 ÷ 9/16 = 3/4 × 16/9 = 1 1/3 as a mixed number.
3) 1/2 × 4/7 × 7/8 = 1/4.
4) 5/6 ÷ 5/12 = 5/6 × 12/5 = 2.
5) 2/3 × 9/10 ÷ 3/5 = 1.
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12-18 minutes
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