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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
(c) ¼
(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
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:-
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?
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. The fraction is ⅗
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