In a fraction, the numerator is increased by 40% and the denominator is diminished by 20%. What fraction of the original is the new fraction?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e.
Let the original fraction = x/y
New numerator = x + 40% of x = x + 0.4x = 1.4x
New denominator = y − 20% of y = y − 0.2y = 0.8y
New fraction = (1.4x) ÷ (0.8y) = 1.4 ÷ 0.8 × (x/y) = 7/4 × (x/y)
New fraction = 7/4 of the original fraction