Multiplying and Dividing Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A trail is 34 mile long. Jenna walks 23 of it. How far does she walk?
A) 57 mile
B) 12 mile
C) 14 mile
D) 24 mile
Finding 23 of 34 means multiplying: 23 × 34 = 612 = 12 mile.
2. A baker has 312 cups of sugar and uses 14 cup per batch. How many batches can he make?
A) 7
B) 12
C) 14
D) 314
Convert 312 to 72, then divide by 14: 72 × 41 = 282 = 14 batches.
3. What is 56 ÷ 13 × 25?
A) 23
B) 1
C) 59
D) 13
First divide: 56 ÷ 13 = 56 × 31 = 156 = 52. Then multiply: 52 × 25 = 1010 = 1.
4. A rectangle is 58 m wide and 45 m long. What is its area?
A) 913 sq m
B) 2040 sq m
C) 12 sq m
D) 1 sq m
Area equals length times width: 58 × 45 = 2040 = 12 square meter.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A pipe fills 25 of a tank per hour. In 56 hour it fills 13 of the tank.
Multiply the rate by the time: 25 × 56 = 1030 = 13 of the tank.
2. A rope is 412 meters. Cut into 34-meter pieces, you get 6 pieces.
Convert 412 to 92, then divide by 34: 92 × 43 = 366 = 6 pieces.
3. 38 of a class of 40 students is 15 students.
Multiply the fraction by the whole number: 38 × 40 = 1208 = 15 students.
4. A car uses 710 gallon per trip. After 57 of a trip it has used 12 gallon.
Multiply the rate by the fraction of the trip: 710 × 57 = 3570 = 12 gallon.
5. 223 ÷ 49 = 83 × 94 = 6.
Convert 223 to 83, flip 49 to get 94, then multiply: 83 × 94 = 7212 = 6.