3.The numerator of a fraction is 3 less than its denominator. If the n

1.	3.The numerator of a fraction is 3 less than its denominator. If the numerator is increased by 1 and the denominator is increased by 3, the fraction becames 1/2. Find the original fraction.
Answer» ANSWER: original FRACTION is 4/7 Step-by-step explanation: LET DENOMINATOR be x .'. numerator is x-3 .'. original fraction is x-3/x ATGC x-3+1/x+3 = 1/2 x-2/x+3= 1/2 2x-4 = x+3 2x-x =3+4 x=7 .'. original fraction is x-3/x i.e. 7-3/7 i.e. 4/7 .'. original fraction is 4/7

3.The numerator of a fraction is 3 less than its denominator. If the numerator is increased by 1 and the denominator is increased by 3, the fraction becames 1/2. Find the original fraction.

Answer»

original FRACTION is 4/7

Step-by-step explanation:

LET DENOMINATOR be x

.'. numerator is x-3

.'. original fraction is x-3/x

ATGC

x-3+1/x+3 = 1/2

x-2/x+3= 1/2

2x-4 = x+3

2x-x =3+4

x=7

.'. original fraction is x-3/x i.e. 7-3/7 i.e. 4/7

.'. original fraction is 4/7