Question

The numerator of a fraction is 2 less than its denominator if 1 is added to both its numerator and denominator it becomes 2/3 find the fraction

Answer 1

Answer:

3/5

Step-by-step explanation:

Numerator is the number above the line in a fraction while Denominator is the one below the line.

For example, in 3/8,

Numerator=3

Denominator=8

In the question,let the fraction be x/y.

It is said that the numerator of the fraction is less than the denominator by 2.

So, it can be written as, x=y-2                 .........(1)

Also,it is said that if 1 is added to both the numerator and the denominator,the fraction becomes 2/3

So accordingly, (x+1)/(y+1)=2/3              

or,3(x+1)=2(y+1)                         [CROSS MULTIPLYING]

or,3x+3=2y+2                               ..........(2)

Substituting the value of x from equation ...(1) in equation ...(2),we get,

3(y-2)+3=2y+2

or,3y-6+3=2y+2

or,y-3=2

or,y=5

Now,substituting the value of y=5 in equation ...(2),we get,

3x+3=2*5+2

or,3x+3=10+2=12

or,3x=9

or,x=3

So,the fraction x/y becomes 3/5.      [ANSWER]