Question

A fraction becomes 1/2 when denominator is increased by 4. The same fraction becomes 1/8 when the numerator is reduced by 5. The fraction is: *​

Answer 1

Answer:

6/8

Step-by-step explanation:

This will be done by a system of equations.

Let the numerator be x and the denominator be y.

x/(y+4)=1/2 -----------i)

(x-5)/y=1/8-------------ii)

From equation no. i),

(x-5)/y=1/8

Multiply both sides by 8y

y=8x-40----------iii)

Substitute equation no. iii) into i),

x/(y+4)=1/2

x/(8x-40+4)=1/2

Cross multiply

2x=8x-36

6x=36

x=6

Put the value of x in equation no iii)

y=8x-40

y=8(6)-40

y=8

Therefore the fraction is 6/8

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