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Simplify: (15/28 × 56/45) ÷ (25/21)

hard Q9 of 15
Numerical Ability - Simplification & Approximation
Simplify: (15/28 × 56/45) ÷ (25/21)
A42/75
B7/10
C14/25
D21/50
Step-by-Step Solution
  1. Step 1: Convert division to multiplication by reciprocal

    Convert ÷ to × reciprocal: (15/28 × 56/45) × (21/25).
  2. Step 2: Cancel stepwise

    Cancel stepwise: 15/45 = 1/3, 56/28 = 2. So partial product = (1 × 2 × 21) / (3 × 25) = 42/75.
  3. Step 3: Simplify the result

    Simplify 42/75 by 3 → 14/25 = 14/25.
  4. Final Answer:

    14/25 → Option C.
  5. Quick Check:

    0.5357 × 1.2444 ÷ 1.1905 ≈ 0.56 ✅
Quick Trick: Flip the divisor, cancel across factors, then simplify.
Common Mistakes:
  • Missing cancellations like 56/28 or 15/45.
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