Find the value of (214 − 56) ÷ 38.
- 3 7/9
- 17/32
- 1 5/12
- 3 1/9
Need a hint?
Work out the subtraction in the brackets first, then divide. To divide by a fraction, multiply by its reciprocal.
Worked answer
- Change 2 1/4 to an improper fraction: 2 1/4 = 9/4 = 27/12.
- Change 5/6 to twelfths: 5/6 = 10/12, so 27/12 − 10/12 = 17/12.
- Dividing by 3/8 is the same as multiplying by 8/3, so 17/12 × 8/3.
- 17/12 × 8/3 = 136/36 = 34/9 = 3 7/9.
Answer: 3 7/9
The mistake this question tests
Habit
Calculation slip
Pupils often multiply by 3/8 instead of 8/3, which gives 17/32.
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