## A fraction becomes 1, if we add 1 to the numerator and subtract 1 from the denominator. It becomes 1/2 if we only add 1 to the denomi

Question

A fraction becomes 1, if we add 1 to the numerator and subtract 1 from the denominator.
It becomes 1/2 if we only add 1 to the denominator. What is the fraction? Guys pls send it fast

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3 weeks 2021-10-04T02:11:59+00:00 2 Answers 0 views 0

1. GIVEN :-

• A fraction becomes 1, if we add 1 to the numerator and subtract 1 from the denominator.
• It becomes 1/2 if we only add 1 to the denominator.

TO FIND :-

The fraction.

PRE-REQUISITE :-

Let the numerator of the fraction be x and the denominator be y.

SOLUTION :-

Case-I

Case-II

Subtracting eq.(i) from eq.(ii) :-

Putting the value of x in eq.(i) :-

Therefore, the fraction is 3/5.

Step-by-step explanation:

Given :-

If we add 1 to numerator, and subtract 1 from the denomination, a fraction reduce the 1.

It becomes ½ if we only add 1 to the denominator.

To Find :-

The Fraction

Solution :-

Let the fraction be x/y

According to the question,

⇒ x + 1/y – 1 = 1

⇒ x – y = – 2 … (i)

⇒ x/y + 1 = 1/2

2x – y = 1 … (ii)

Subtracting equation (i) from equation (ii), we get

x = 3 … (iii)

Putting this value in equation (i), we get

⇒ 3 – y = – 2

⇒ -y =  5

y = 5

Hence, the fraction is 3/5