Question

The numerator of a rational number is 3 less than its denominator. If the
numerator is increased by 1 and the denominator is increased by 3, thenumber become 1/2.find rational number​

Answer 1

Answer:

1/2 = 1/2

Step-by-step explanation:

Original Fraction:

Denominator: x

Numerator: x - 3

New fraction:

Denominator: x + 3

Numerator: x - 3 + 1  or  x - 2

Solution:

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

2(x-2) = 1 (x+3)

2x - 4 = x + 3

2x - x = 3 + 4

x = 7    

Substitute:

Numerator: 7-3 = 4

Denominator: x = 7

The rational number is 4/7.

Check:

If numerator is increased by 1 and the denominator is increased by 3, the fraction becomes 1/2:

(4+1)/(7+3) = 1/2

5/10 = 1/2

1/2 = 1/2