# The numerator of a fraction is 9 less than its denominator. if 3 is added to its numerator,the new fraction is 1/2 find the original fraction

1
by markfigueroa

• Brainly User
2015-10-15T12:12:49+08:00
ANSWER:  3/12 is the original fraction.

Let the denominator be x
the numerator be x - 9  (nine less than the denominator)

If 3 is added to the numerator, the new fraction is 1/2

LCD (Least common denominator is (2)(x)

2x - 12 = x
2x - x = 12
x = 12

The original fraction: (Substitute 12 for x)

x-9
x

12-9

12

3/12    Original fraction.

To check when 3 is added to numerator, the new fraction is 1/2:

3 + 3  = 1/2
12

6/12 = 1/2

1/2 = 1/2