If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes ½ if we only add 1 to the denominator. What is the fraction?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

(a) ⅖

(b) ⅗

(d) None of the above

Consider the fraction as x/y

From the question, we can write as (x + 1) (y – 1) = 1

On simplifying we get

x – y = -2 … (i)

x/ (y + 1) = ½

On rearranging we get

2x – y = 1 … (ii)

Let us subtract (i) f(ii), we get

x = 3 … (iii)

Substituting x value in (i), we get

3 – y = -2

-y = -5

y value becomes

y = 5

Therefore, the fraction is ⅗

Table of content

1. If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes ½ if we only add 1 to the denominator. What is the fraction?

Fraction

A fraction is a numerical figure used to represent the parts of a whole.

In general, the fraction can be a piece of any whole, which could be any specific thing or value.

The foundations of fractions describe the top and bottom numbers in a fraction. The top number corresponds to the number of selected or coloured pieces of the whole, while the bottom number shows the total number of components.

Parts of Fraction –

There are two components to fractions: a numerator and a denominator.

The numerator, or upper portion of the fraction, denotes the various parts of the fraction.
The lower or bottom portion, known as the denominator, represents all of the components into which the fraction is divided.

Summary:-