Question

Numerator of fraction 8 less than denominator. If 1 added to each of numerator and denominator, fraction becomes equal to 1/2. What is original fraction

Answer 1

Answer:

1

Secondary School Math 5 points

The numerator of a fraction is 8 less than the denominator. If 1 is added to each of the numerator and the denominator, the fraction becomes equal to 1/2

Step-by-step explanation:

Let, the denominator be x.

Numerator is 8 less than the denominator = x-8

Original Fraction would be = x-8/x

If 1 is added to both the numerator and denominator fraction becomes equal to 1/2.

New fraction = x-8+1/x+1

=> x-8+1/x+1 = 1/2

=> x-7/x+1 = 1/2

=> 2(x-7) = 1(x+1)

=> 2x-14 = x+1

=> 2x-x = 1+14

=> x = 15

Original Fraction = 15-8/15 = 7/15

Answer 2

Step-by-step explanation:

Let the denominator be x

Numerator is 8 less than the numerator = x-8

Original fraction =x-8/x

If 1 is added to both the numerator and denominator so the fraction becomes equal to 1/2

New fraction = x-8+1/x+1

x-8+1/x+1=1/2

x-7/x+1=1/2

2x-14=x+1

2x-x=1+14

x=15

Original fraction=15-8/15= 7/15 -------(Ans.)

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