Topic Review Solutions — Fractions

Answers

1. Multiply fractions Fluency

   1. 23 × 34: 12 ▶ View Solution
   2. 56 × 310: 14 ▶ View Solution
   3. 4 × 38: 112 ▶ View Solution
   4. 79 × 914: 12 ▶ View Solution
   5. 35 × 109: 23 ▶ View Solution
   6. 5 × 415: 113 ▶ View Solution

2. Divide fractions Fluency

   1. 34 ÷ 12: 112 ▶ View Solution
   2. 56 ÷ 23: 114 ▶ View Solution
   3. 25 ÷ 4: 110 ▶ View Solution
   4. 1 ÷ 34: 113 ▶ View Solution
   5. 78 ÷ 716: 2 ▶ View Solution
   6. 3 ÷ 35: 5 ▶ View Solution

3. Mixed number addition and subtraction Fluency

   1. 214 + 134: 4 ▶ View Solution
   2. 312 − 114: 214 ▶ View Solution
   3. 423 + 213: 7 ▶ View Solution
   4. 534 − 223: 3112 ▶ View Solution
   5. 138 + 212: 378 ▶ View Solution
   6. 615 − 335: 235 ▶ View Solution

4. Calculate Understanding

   1. 34 × 16: 12 ▶ View Solution
   2. 12 ÷ 34: 16 ▶ View Solution
   3. (23 + 14) × 12: 11 ▶ View Solution
   4. 56 × 310 + 14: 12 ▶ View Solution

5. Recipe problem Problem Solving

   1. Flour needed (234 × 112): 418 cups ▶ View Solution
   2. Is 4 cups enough? No — 4 < 418 ▶ View Solution
   3. Butter needed (23 × 112): 1 cup ▶ View Solution

6. Convert then multiply or divide Fluency

   1. 112 × 23: 1 ▶ View Solution
   2. 214 ÷ 34: 3 ▶ View Solution
   3. 135 × 212: 4 ▶ View Solution
   4. 312 ÷ 134: 2 ▶ View Solution

7. Find the fraction of each quantity Fluency

   1. 34 of 48: 36 ▶ View Solution
   2. 25 of 35: 14 ▶ View Solution
   3. 56 of 24: 20 ▶ View Solution
   4. 78 of 64: 56 ▶ View Solution

8. True or False Understanding

   1. Dividing by 12 is same as multiplying by 2: True — ÷ 12 = × 2 ▶ View Solution
   2. 34 × 43 = 1: True — reciprocals multiply to 1 ▶ View Solution
   3. Multiplying a fraction by a proper fraction gives a smaller result: True — multiplying by a number less than 1 always reduces the value ▶ View Solution

9. Rope cutting Problem Solving

   1. Number of pieces (634 ÷ 34): 9 pieces ▶ View Solution
   2. Any rope left over? No — divides exactly ▶ View Solution
   3. Cost per piece ($18 ÷ 9): $2 per piece ▶ View Solution

10. Honey jar Understanding

    1. Fraction of full jar used (14 × 23): 16 of the full jar ▶ View Solution
    2. Fraction remaining: 12 of full jar ▶ View Solution
    3. Mass of honey remaining (12 × 900 g): 450 g ▶ View Solution