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

Answer:

Step-by-step explanation:

given :

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

to find :

Find the fraction

solution :

• x-1+3/x+3 = x-1/x + 3/5

• x+2/x+3 = 5x - 5+ 3x/ 5x

• 5x(x+2) = (31x - 5)(x+3)

• 5x +56x = 31x² - 5x + 93x - 84

• 31x² 5x² +93x - 5x

• 3x² + 9x - 84

• [Divide by 3]

• x² + 3x - 5

• x²+ 7x - 4x - 5

• x(x+7) -4(x+7)

• (x-4) (x+7)

• Fraction = x-1/x = 4-1/4= 3/4

Answer 2

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 $\frac{6}{7}$