Question

If the numerator and denominator of a proper fraction are increased by the same quantity, then the resulting fraction is?

A

Always greater than the original fraction

B

Always less than the original fraction

C

Always equal to the original fraction

D

None of the above

Medium

Solution

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Correct option is
A

Always greater than the original fraction

If the numerator and denominator of a proper fraction are increased by the same quantity, then the resulting fraction is always greater than the original fraction.

Let us understand and verify it with the help of couple of examples:

Let be an original fraction.

If the numerator and denominator are increased by , the fraction becomes:

   

Let  be an original fraction.

If the numerator and denominator are increased by , the fraction becomes:

   

Hence, if the numerator and denominator of a proper fraction are increased by the same quantity, then the resulting fraction is always greater than the original fraction.

Therefore, option A is correct.

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