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Proper Fractions

The square of...

Question

The square of a proper fraction is .............. than the given fraction.

A

smaller

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B

greater

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C

equal

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D

none

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Solution

The correct option is A smaller
${(\frac{1}{2})}^{2} = \frac{1}{4}$
Now, $\frac{1}{4} < \frac{1}{2}$
Hence, the square of a proper fraction is lesser than the given fraction.

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