Class 8 Exam > Class 8 Questions > The numerator of rational number is 2 less th...
Start Learning for Free
The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number?
Most Upvoted Answer
The numerator of rational number is 2 less than the denominator when 1...
Supposed that denominator = x ,
so numerator = x -2 ,
when 1 is subtracted from both - ,
x-1 and x-2-1=x-3 ,,
rational number = (x-3)/(x-1)
so numerator = x -2 ,
when 1 is subtracted from both - ,
x-1 and x-2-1=x-3 ,,
rational number = (x-3)/(x-1)
Community Answer
The numerator of rational number is 2 less than the denominator when 1...
Understanding the Problem:
The problem states that the numerator of a rational number is 2 less than the denominator. When 1 is subtracted from both the numerator and denominator, the number remains the same. We need to find this rational number.
Solution:
Let's denote the numerator as 'n' and the denominator as 'd'.
Given: n = d - 2
When 1 is subtracted from both the numerator and denominator, the new rational number is (n-1)/(d-1).
According to the problem, this new rational number is equal to the original rational number, which can be represented as: n/d = (n-1)/(d-1)
Now, substitute the value of n from the first equation into the second equation:
d - 2 / d = (d - 2 - 1) / (d - 1)
Simplify the above equation:
d - 2 / d = (d - 3) / (d - 1)
Cross multiply to solve for 'd':
d(d - 3) = (d - 2)(d - 1)
d^2 - 3d = d^2 - 3d + 2
-3d = 2
d = -2/3
Therefore, the rational number is -2/3.
The problem states that the numerator of a rational number is 2 less than the denominator. When 1 is subtracted from both the numerator and denominator, the number remains the same. We need to find this rational number.
Solution:
Let's denote the numerator as 'n' and the denominator as 'd'.
Given: n = d - 2
When 1 is subtracted from both the numerator and denominator, the new rational number is (n-1)/(d-1).
According to the problem, this new rational number is equal to the original rational number, which can be represented as: n/d = (n-1)/(d-1)
Now, substitute the value of n from the first equation into the second equation:
d - 2 / d = (d - 2 - 1) / (d - 1)
Simplify the above equation:
d - 2 / d = (d - 3) / (d - 1)
Cross multiply to solve for 'd':
d(d - 3) = (d - 2)(d - 1)
d^2 - 3d = d^2 - 3d + 2
-3d = 2
d = -2/3
Therefore, the rational number is -2/3.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number?
Question Description
The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number?.
The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number?.
Solutions for The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number? defined & explained in the simplest way possible. Besides giving the explanation of
The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number?, a detailed solution for The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number? has been provided alongside types of The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number? theory, EduRev gives you an
ample number of questions to practice The numerator of rational number is 2 less than the denominator when 1 is subtracted from both the numerator and denominator the number will becomes the find the rational number? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup