Multiplying mixed numbers
Answers are for parents and teachers.
1
Work out 3/4 × 3 1/3 and write the answer as a mixed number.
10/3 × 3/4 = 30/12 = 5/2 = 2 1/2.
2
Work out 2 2/3 × 1 1/4.
8/3 × 5/4 = 40/12 = 10/3 = 3 1/3.
3
Use an area model for 1 1/2 × 1 1/2 and add the four boxes.
| 1 | 1/2 | |
|---|---|---|
| 1 | ||
| 1/2 |
1 + 1/2 + 1/2 + 1/4 = 2 1/4. Check: 3/2 × 3/2 = 9/4.
4
A bag holds 4 1/2 kg of lentils. Mostafa uses 2/3 of the bag. How many kilograms does he use?
2/3 × 9/2 = 18/6 = 3 kg.
5
A rectangular yard is 6 1/2 m long and 3 1/2 m wide. Find its area.
13/2 × 7/2 = 91/4 = 22 3/4 square metres.