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A strip of cloth is m long. Which expression gives the length of of this strip?

Class 7Fractions and DecimalsFractions and Decimals
  • A
  • B
  • C
  • D

Step-by-Step Solution

The word "of" between a fraction and a quantity always means multiply, so it is . Because the answer must be a part of the strip, division is the giveaway trap — dividing would make the answer bigger than m, which is impossible for a part of it.
Answer: A)

Key idea: Dividing fractions: multiply by the reciprocal

Dividing by a fraction is the **same as multiplying by its reciprocal**. To divide, flip the second fraction (the divisor) and multiply.

(a/b) ÷ (c/d) = (a/b) × (d/c) = (a × d) / (b × c).

Example: (2/3) ÷ (4/5) = (2/3) × (5/4) = 10/12 = 5/6.

Why? Dividing by 1/4 is the same as asking 'how many quarters fit in this?' — which is the same as multiplying by 4. The reciprocal trick generalises that idea.

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