- A
- B
- C
- D
Step-by-Step Solution
Whole parts: 3 + 2 = 5. Fractions: . That extra whole must be carried: . Forgetting to carry gives .
Answer: B)
Aarti practises tabla for hours on Saturday and hours on Sunday. How many hours did she practise in all?
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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