Question

The numerator of a fraction exceeds the denominator by 3. If 3 is added to the numerator and 3 is subtracted from the denominator, the resulting fraction is equal to 5/2.Find the original fraction​

Answer 1

Answer:

12/9

Step-by-step explanation:

Let the denominator be 'x'

therefore, numerator = x+3

original fraction = x+3/x

form the question, x+3+3/x-3

new fraction = x+6/x-3

Given that x+6/x-3 = 5/2

by cross multiplying,

2(x+6) = 5(x-3)

2x + 12 = 5x - 15

15 + 12 = 5x - 2x

27 = 3x

x = 27/3

x = 9

therefore denominator = 9 nad numerator = x+3 = 12

original fraction = 12/9

Answer 2

Step-by-step explanation:

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