Class 10 Exam > Class 10 Questions > If 2 is added to numerator it reduces to 1/2....
Start Learning for Free
If 2 is added to numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find fraction?
Most Upvoted Answer
If 2 is added to numerator it reduces to 1/2. If 1 is substracted from...
Analysis of the Given Information:
Given that when 2 is added to the numerator, the fraction reduces to 1/2, and when 1 is subtracted from the denominator, the fraction reduces to 1/3.
Let the numerator be x and the denominator be y.
Equations based on the given information:
- (x+2)/y = 1/2
- x/(y-1) = 1/3
Solving the Equations:
From the first equation, we can write:
x + 2 = y/2 ...(1)
From the second equation, we can write:
3x = y - 1 ...(2)
Substituting Equation (1) into Equation (2):
3(x + 2) = y - 1
3x + 6 = y - 1
3x - y = -7 ...(3)
Solving Equations (1) and (3) simultaneously:
Substitute the value of y from Equation (1) into Equation (3):
3x - (2x + 4) = -7
x = -11
Substitute the value of x back into Equation (1):
-11 + 2 = y/2
-9 = y/2
y = -18
Therefore, the fraction is (-11)/(-18) which simplifies to 11/18.
Conclusion:
The fraction is 11/18.
Given that when 2 is added to the numerator, the fraction reduces to 1/2, and when 1 is subtracted from the denominator, the fraction reduces to 1/3.
Let the numerator be x and the denominator be y.
Equations based on the given information:
- (x+2)/y = 1/2
- x/(y-1) = 1/3
Solving the Equations:
From the first equation, we can write:
x + 2 = y/2 ...(1)
From the second equation, we can write:
3x = y - 1 ...(2)
Substituting Equation (1) into Equation (2):
3(x + 2) = y - 1
3x + 6 = y - 1
3x - y = -7 ...(3)
Solving Equations (1) and (3) simultaneously:
Substitute the value of y from Equation (1) into Equation (3):
3x - (2x + 4) = -7
x = -11
Substitute the value of x back into Equation (1):
-11 + 2 = y/2
-9 = y/2
y = -18
Therefore, the fraction is (-11)/(-18) which simplifies to 11/18.
Conclusion:
The fraction is 11/18.
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
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
If 2 is added to numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find fraction?
Question Description
If 2 is added to numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find 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 numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find 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 numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find fraction?.
If 2 is added to numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find 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 numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find 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 numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find fraction?.
Solutions for If 2 is added to numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find 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 numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find fraction? defined & explained in the simplest way possible. Besides giving the explanation of
If 2 is added to numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find fraction?, a detailed solution for If 2 is added to numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find fraction? has been provided alongside types of If 2 is added to numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find fraction? theory, EduRev gives you an
ample number of questions to practice If 2 is added to numerator it reduces to 1/2. If 1 is substracted from the denominator it reduces to 1/3. Find fraction? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup