Numerical Ability - Simplification & Approximation
Simplify: (63/70) ÷ (21/25) × (15/14)
Simplify: (63/70) ÷ (21/25) × (15/14)
hard Q10 of 15
Step-by-Step Solution
Step 1: Convert division to multiplication by reciprocal
Convert ÷ to × reciprocal: (63/70) × (25/21) × (15/14).Step 2: Cancel stepwise
Cancel stepwise: 63/21 = 3, and 25/70 = 5/14. So two factors combine to 15/14 (3 × 5 / 14).Step 3: Multiply the remaining factors
Now multiply by the last factor: (15/14) × (15/14) = (225/196) = 225/196.Final Answer:
225/196 → Option D.Quick Check:
0.9 ÷ 0.84 × 1.0714 ≈ 1.1480 ✅
Quick Trick: Cancel large factors early to keep numbers small, then multiply.
Common Mistakes:
- Not combining cancellations across factors before final multiplication.
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