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Simplify: (7/8 ÷ 7/16) × (3/5)

medium Q15 of 15
Numerical Ability - Simplification & Approximation
Simplify: (7/8 ÷ 7/16) × (3/5)
A3/8
B5/6
C7/16
D6/5
Step-by-Step Solution
  1. Step 1: Divide by multiplying with reciprocal

    First divide: (7/8 ÷ 7/16) = (7/8 × 16/7).
  2. Step 2: Cancel identical factors

    Cancel the 7s → becomes 16/8 = 2.
  3. Step 3: Multiply by the third fraction

    Now multiply by 3/5 → 2 × 3/5 = 6/5.
  4. Final Answer:

    6/5 → Option D.
  5. Quick Check:

    (7/8 ÷ 7/16) = 2, and 2 × 0.6 = 1.2 = 6/5 ✅
Quick Trick: Cancel identical factors (7) early to simplify the division.
Common Mistakes:
  • Multiplying incorrectly before cancelling or forgetting to flip the divisor.
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