- A4/5
- B1 1/5
- C1 1/4
- D5
Step-by-Step Solution
One jump covers 4 of the 5 parts, so it is . Jumps needed : the reciprocal of .
Answer: C) 1 1/4
A grasshopper's jump is shown on the number line; each unit is split into equal parts. How many such jumps take it from 0 to exactly 1?
Class 7Fractions and DecimalsFractions and Decimals
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.
(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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