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If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction is
- a)always less than the original fraction
- b)always greater than the original fraction
- c)always equal to the original fraction
- d)such that nothing can .be claimed definitely
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If the numerator and denominator of a proper fraction are increased by...
Option b is correct ,in proper fraction ,numerator is less than denominator,
so let's assume 1/2 be your fraction,
1+1/2+1=2/3
which is greater than first number,
edurev has published wrong answer,Mera bhi glat kr diya hai ye
so let's assume 1/2 be your fraction,
1+1/2+1=2/3
which is greater than first number,
edurev has published wrong answer,Mera bhi glat kr diya hai ye
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Community Answer
If the numerator and denominator of a proper fraction are increased by...
Explanation:
When a positive quantity is added to both the numerator and denominator of a proper fraction, the resulting fraction will be less than the original fraction. This can be understood through the following example:
Let's take the fraction 3/4 as the original fraction. If we add 1 to both the numerator and denominator, we get the fraction 4/5. We can see that the resulting fraction is less than the original fraction.
Therefore, option A is the correct answer.
Why the resulting fraction is always less than the original fraction?
We can prove mathematically that when a positive quantity is added to both the numerator and denominator of a proper fraction, the resulting fraction will be less than the original fraction.
Let's take a fraction a/b as the original fraction.
If we add a positive quantity x to both the numerator and denominator, we get the fraction (a+x)/(b+x).
To prove that this fraction is less than the original fraction, we need to show that (a+x)/(b+x) < />
We can do this by cross-multiplying:
a(b+x) < />
ab + ax < ab="" +="" />
ax < />
a < />
Since x is positive, we can divide both sides by x, which gives us a/b < />
Therefore, we can conclude that when a positive quantity is added to both the numerator and denominator of a proper fraction, the resulting fraction will always be less than the original fraction.
When a positive quantity is added to both the numerator and denominator of a proper fraction, the resulting fraction will be less than the original fraction. This can be understood through the following example:
Let's take the fraction 3/4 as the original fraction. If we add 1 to both the numerator and denominator, we get the fraction 4/5. We can see that the resulting fraction is less than the original fraction.
Therefore, option A is the correct answer.
Why the resulting fraction is always less than the original fraction?
We can prove mathematically that when a positive quantity is added to both the numerator and denominator of a proper fraction, the resulting fraction will be less than the original fraction.
Let's take a fraction a/b as the original fraction.
If we add a positive quantity x to both the numerator and denominator, we get the fraction (a+x)/(b+x).
To prove that this fraction is less than the original fraction, we need to show that (a+x)/(b+x) < />
We can do this by cross-multiplying:
a(b+x) < />
ab + ax < ab="" +="" />
ax < />
a < />
Since x is positive, we can divide both sides by x, which gives us a/b < />
Therefore, we can conclude that when a positive quantity is added to both the numerator and denominator of a proper fraction, the resulting fraction will always be less than the original fraction.
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If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction isa)always less than the original fractionb)always greater than the original fractionc)always equal to the original fractiond)such that nothing can .be claimed definitelyCorrect answer is option 'A'. Can you explain this answer?
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If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction isa)always less than the original fractionb)always greater than the original fractionc)always equal to the original fractiond)such that nothing can .be claimed definitelyCorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction isa)always less than the original fractionb)always greater than the original fractionc)always equal to the original fractiond)such that nothing can .be claimed definitelyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction isa)always less than the original fractionb)always greater than the original fractionc)always equal to the original fractiond)such that nothing can .be claimed definitelyCorrect answer is option 'A'. Can you explain this answer?.
If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction isa)always less than the original fractionb)always greater than the original fractionc)always equal to the original fractiond)such that nothing can .be claimed definitelyCorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction isa)always less than the original fractionb)always greater than the original fractionc)always equal to the original fractiond)such that nothing can .be claimed definitelyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction isa)always less than the original fractionb)always greater than the original fractionc)always equal to the original fractiond)such that nothing can .be claimed definitelyCorrect answer is option 'A'. Can you explain this answer?.
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