if the numerator of a fraction is increased by 150 percent and the denominator is increased by 200 percent and the resultant is 1/ 18
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Answer:
ORIGINAL FRACTION = 1 / 15
Step-by-step explanation:
Let the Numerator be N .
And denominator be D .
Numerator is increased by 150 % .
Denominator is increased by 200 % .
Numerator after increasing
= N + 150% N
= N + 150 N / 100
= N + 3N / 2
= 5N / 2
Denominator after increasing
= D + 200 % D
= D + 200 D / 100
= D + 2D
= 3D
A.T.Q,
5N / 2 × 3D = 1 / 18
5N / 6D = 1 / 18
N / D = 1 × 6 / 18 × 5
N / D = 1 / 15
ORIGINAL FRACTION = 1 / 15
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