MARKER: 1 In a fraction if the numerator is increased by 25% and the denominator is...
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MARKER:** 1
In a fraction if the numerator is increased by 25% and the denominator is decreased by 4%, the new fraction obtained is 5/8. Find the original fraction.
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Answer: A. A) 12/25
(1.25 * N) / (0.96 * D) = 5/8 => N/D = (5/8) * (0.96 / 1.25) = (5/8) * (96/125) = 12/25.
Step-by-step Derivation:
Step 1: New fraction = (1.25 * N) / (0.96 * D) = 5/8.
Step 2: N / D = (5/8) * (0.96 / 1.25) = (5 / 8) * (96 / 125).
Step 3: Simplify: (5/125) * (96/8) = (1/25) * 12 = 12/25.