Question

The denominator
of a fraction exceed,
its numerator by 4. The numerator
and denominator are both increased by 3,
the new fraction becomes 4/5 Find the
original faction​

Answer 1

Answer:

The original fraction is 13/17

Step-by-step explanation:

Given :

• The denominator  of a fraction exceeds its numerator by 4.
• The numerator  and denominator are both increased by 3,  the new fraction becomes 4/5

To find :

the original fraction

Solution :

Let the numerator of the fraction be x

Then, the denominator = (x + 4)

fraction = numerator/denominator

  original fraction = x/(x + 4)

The numerator and denominator are increased by 3,

new numerator = x + 3 = x + 3

new denominator = x + 4 + 3

new fraction = (x + 3)/(x + 7)

It's given, the new fraction becomes 4/5

 So, (x + 3)/(x + 7) = 4/5

    5(x + 3) = 4(x + 7)

    5x + 15 = 4x + 28

    5x - 4x = 28 - 15

     x = 13

The numerator = 13

The denominator = 13 + 4 = 17

∴ The original fraction = 13/17