Question

The numerator of a rational number is less than the denominator by 3. If the numerator is multiplied by 3 and the denominator is increased by 12, the new fraction becomes 3/4. Find the original fraction.

Answer 1

Answer:

the numerator of a rational number is less than its denominator by 3.if the numerator became 3 times and the denominator is increased by 20,the faction became 1\8,find the original faction

.

Let d = denominator

then

d-3 = numerator

.

3(d-3)/(d+20) = 1/8

(3d-9)/(d+20) = 1/8

cross multiplying:

8(3d-9) = (d+20)

24d-72 = d+20

23d-72 = 20

23d = 92

d = 4 (denominator)

.

numerator:

d-3 = 4-3 = 1

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