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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?
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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.
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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?
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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?.
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