Class 10 Exam  >  Class 10 Questions  >  If 2 is added to the numerator it reduces to ... Start Learning for Free
If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.?
Most Upvoted Answer
If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted f...



Identifying the Given Information:
- Let the fraction be x/y.
- Given: If 2 is added to the numerator, it reduces to 1/2.
- Given: If 1 is subtracted from the denominator, it reduces to 1/3.

Formulating Equations:
- (x+2)/y = 1/2
- x/(y-1) = 1/3

Solving the Equations:
- From the first equation, we get: y = 2(x+2)
- Substituting y in the second equation, we get: x / (2x+2-1) = 1/3
- Simplifying, we get: x / (2x + 1) = 1/3
- Cross multiplying, we get: 3x = 2x + 1
- Solving for x, we get: x = 1

Finding the Value of y:
- Substituting x = 1 in y = 2(x+2), we get: y = 2(1+2) = 6

Final Fraction:
- Therefore, the fraction is 1/6.

Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.?
Question Description
If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.?.
Solutions for If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.? defined & explained in the simplest way possible. Besides giving the explanation of If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.?, a detailed solution for If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.? has been provided alongside types of If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.? theory, EduRev gives you an ample number of questions to practice If 2 is added to the numerator it reduces to 1/2. If 1 is subtracted from the denominator it reduces to 1/3. Find the fraction.? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

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