UPSC Exam  >  UPSC Questions  >  The numerator of a fraction is 2 less than th... Start Learning for Free
The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.?
Most Upvoted Answer
The numerator of a fraction is 2 less than the denominator. If one is ...

Solution:
Given information:
- Let the denominator be x.
- The numerator is 2 less than the denominator, so the numerator is x - 2.
- When one is added to the denominator, the fraction becomes 1/2.
Formulating the equation:
- The fraction can be represented as (x - 2) / x.
- When one is added to the denominator, the new fraction is (x - 2) / (x + 1) = 1/2.
Solving the equation:
- Cross multiply to get 2(x - 2) = x + 1.
- Simplify the equation to get 2x - 4 = x + 1.
- Rearrange the equation to get x = 5.
Finding the fraction:
- The numerator is x - 2 = 5 - 2 = 3.
- Therefore, the fraction is 3/5.
Conclusion:
- The fraction in question is 3/5.
Explore Courses for UPSC exam

Top Courses for UPSC

The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.?
Question Description
The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.?.
Solutions for The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.? defined & explained in the simplest way possible. Besides giving the explanation of The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.?, a detailed solution for The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.? has been provided alongside types of The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.? theory, EduRev gives you an ample number of questions to practice The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction.? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev