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The denominator of a fraction exceeds the numerator by 2. If 5 is added to the numerator the fraction increases by ubity?
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The denominator of a fraction exceeds the numerator by 2. If 5 is adde...
Understanding the Problem:
Given that the denominator of a fraction exceeds the numerator by 2, let's represent the fraction as \( \frac{n}{n+2} \), where n is the numerator.
Finding the Original Fraction:
The original fraction is \( \frac{n}{n+2} \).
Adding 5 to the Numerator:
When 5 is added to the numerator, the new fraction becomes \( \frac{n+5}{n+2} \).
Calculating the Increase in the Fraction:
To find the increase in the fraction, we need to subtract the original fraction from the new fraction:
\[ \frac{n+5}{n+2} - \frac{n}{n+2} = \frac{n+5-n}{n+2} = \frac{5}{n+2} \]
This shows that the fraction increases by \( \frac{5}{n+2} \).
Conclusion:
In conclusion, the fraction increases by \( \frac{5}{n+2} \) when 5 is added to the numerator of a fraction where the denominator exceeds the numerator by 2.
Given that the denominator of a fraction exceeds the numerator by 2, let's represent the fraction as \( \frac{n}{n+2} \), where n is the numerator.
Finding the Original Fraction:
The original fraction is \( \frac{n}{n+2} \).
Adding 5 to the Numerator:
When 5 is added to the numerator, the new fraction becomes \( \frac{n+5}{n+2} \).
Calculating the Increase in the Fraction:
To find the increase in the fraction, we need to subtract the original fraction from the new fraction:
\[ \frac{n+5}{n+2} - \frac{n}{n+2} = \frac{n+5-n}{n+2} = \frac{5}{n+2} \]
This shows that the fraction increases by \( \frac{5}{n+2} \).
Conclusion:
In conclusion, the fraction increases by \( \frac{5}{n+2} \) when 5 is added to the numerator of a fraction where the denominator exceeds the numerator by 2.
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The denominator of a fraction exceeds the numerator by 2. If 5 is added to the numerator the fraction increases by ubity?
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The denominator of a fraction exceeds the numerator by 2. If 5 is added to the numerator the fraction increases by ubity? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The denominator of a fraction exceeds the numerator by 2. If 5 is added to the numerator the fraction increases by ubity? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The denominator of a fraction exceeds the numerator by 2. If 5 is added to the numerator the fraction increases by ubity?.
The denominator of a fraction exceeds the numerator by 2. If 5 is added to the numerator the fraction increases by ubity? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The denominator of a fraction exceeds the numerator by 2. If 5 is added to the numerator the fraction increases by ubity? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The denominator of a fraction exceeds the numerator by 2. If 5 is added to the numerator the fraction increases by ubity?.
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