Question

the numerator of a fraction is 5 less than the denominator. If 2 is subtracted from the numerator and added to the denominator, the fraction becomes 2/5 find the fraction

Answer 1

hey the answer is...

fraction is ...

13-5= 8

8/13 is the answer


hope it helps uu frnd

Answer 2

Given:

The numerator of a fraction is 5 less than the denominator

To find:

The fraction
Solution:

The required fraction is 8/13.

Let the fraction's denominator be X.

We will form the fraction by using the given information.

The fraction's numerator=denominator-5

=X-5

So, the fraction=(X-5)/X

Now we will reduce the numerator by 2 and add 2 to the denominator.

Numerator becomes (X-5)-2=(X-7)

The denominator becomes X+2.

This fraction is equal to 2/5.

Using the values,

(X-7)/(X+2)=2/5

Now we will cross multiply and calculate X.

5(X-7)=2(X+2)

5X-35=2X+4

5X-2X=35+4

3X=39

X=39/3

X=13

We will put the values and obtain the fraction.

(X-5)/X=(13-5)/13

=8/13

Thus, the fraction is 8/13.