Topic Review — Fractions

Review Questions

1. Multiply these fractions: Fluency

   1. 23 × 34
   2. 56 × 310
   3. 4 × 38
   4. 79 × 914
   5. 35 × 109
   6. 5 × 415

2. Divide these fractions: Fluency

   1. 34 ÷ 12
   2. 56 ÷ 23
   3. 25 ÷ 4
   4. 1 ÷ 34
   5. 78 ÷ 716
   6. 3 ÷ 35

3. Add or subtract these mixed numbers: Fluency

   1. 214 + 134
   2. 312 − 114
   3. 423 + 213
   4. 534 − 223
   5. 138 + 212
   6. 615 − 335

4. Calculate: Understanding

   1. 34 × 16
   2. 12 ÷ 34
   3. (23 + 14) × 12
   4. 56 × 310 + 14

5. A recipe needs 234 cups of flour. You want to make 112 times the recipe. Problem Solving

   1. How much flour do you need?
   2. You have 4 cups of flour. Is that enough?
   3. The recipe also needs 23 cup of butter. How much butter do you need for 112 times the recipe?

6. Convert to an improper fraction, then multiply or divide: Fluency

   1. 112 × 23
   2. 214 ÷ 34
   3. 135 × 212
   4. 312 ÷ 134

7. Find the fraction of each quantity: Fluency

   1. 34 of 48
   2. 25 of 35
   3. 56 of 24
   4. 78 of 64

8. True or False and explain: Understanding

   1. Dividing by 12 is the same as multiplying by 2.
   2. 34 × 43 = 1
   3. Multiplying a fraction by a proper fraction always gives a smaller result.

9. A piece of rope is 634 m long. It is cut into pieces each 34 m long. Problem Solving

   1. How many pieces can be cut?
   2. Is there any rope left over?
   3. If the rope cost $18 in total, what is the cost per piece?

10. A jar is 23 full of honey. Understanding

    1. You use 14 of the honey in the jar. What fraction of the full jar did you use?
    2. What fraction of the jar is now full of honey?
    3. If the full jar holds 900 g, how much honey is now in the jar?