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A 750 g packet of biscuits is shared so that Dev receives of the packet. How many grams does Dev receive?

Class 7Fractions and DecimalsFractions and Decimals
  • A375
  • B300
  • C150
  • D450

Step-by-Step Solution

of g. Taking only gives 150; working out the leftover by mistake gives 450.
Answer: B) 300

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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