Question

The numerator of a fraction is 1 less than the denominator.If we add 3 to the denominator, the new fraction formed is 3/5.Find the fraction​

Answer 1

Step-by-step explanation:

Suppose,

The numerator of a fraction = x

The denominator of a fraction = x + 1

If we add 3 to the denominator :

The denominator of a fraction = x + 1 + 3

As per the question :

= $\frac{x}{x \: + \: 1 \: + 3} \: = \: \frac{3}{5}$

= 5 (x) = 3(x + 1 + 3)

= 5x = 3x+3+9

= 5x = 3x+12

= 5x - 3x = 12

= 2x = 12

= x = 12/2

x = 6

The numerator of a fraction = 6

The denominator of a fraction = x + 1

= 6 + 1 = 7

The denominator of a fraction = 7

The fraction = $\frac{6}{7}$

Hence, the fraction is $\frac{6}{7}$