Question

the numerator of a fraction is 5 less then the denominator. if 2 is added to both numerator and denominator. it becomes 4/5.find the fraction

Answer 1

fraction= (x-5)/x

(x-5+2)/(x+2)=4/5

5(x-3)=4(x+2)
5x-15=4x+8
5x-4x=8+15
x=23

numerator=x-5=23-5=18
denominator=x=23
fraction=18/23

Answer 2

Answer:

The fraction will be equivalent to 18/23.

Step-by-step explanation:

Let the numerator be "x-5" and the denominator be "x"

According to the question,

(x-5+2)/(x+2)= 4/5

(x-3)*5= 4*(x+2)

5x-15= 4x+8

5x-4x = 8+15

x=23

numerator

= x-5

= 23-5

=18

denominator

=x

=23

The fraction will be (x-5)/x equivalent to 18/23.

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