if the numerator of a fraction is increased by 20%, and the denominator is diminished by 10%, the fraction is 16/21. find the original fraction
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Answer:
ORIGINAL FRACTION = 12 / 25
Step-by-step explanation:
Let the numerator be N.
And denominator be D.
Numerator is increased by 20 % .
Denominator is decreased by 10 % .
Let the original fraction be N / D .
Numerator after increasing
= N + 20 % N
= N + 20 / 100 N
= N + 1 / 5 N
= 6 N / 5
Denominator after decreasing
= D - 10 % D
= D - 10 / 100 D
= D - 1 / 10 D
= 9 D / 10
A.T.Q,
6 N / 5 × 9D / 10 = 16 / 25
6 N ×10 / 45 D = 16 / 25
60N / 45D = 16 / 25
4N / 3D = 16 / 25
N / D = 16 × 3 / 4 × 25
N / D = 12 /25
ORIGINAL FRACTION = 12 / 25
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