Question

The square of a proper fraction is ________ .

• A. larger than the fraction
• B. smaller than the fraction
• C. equal to the fraction
• D. none of these

Answer 1

The correct option is B smaller than the fraction

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

Let's take an example of the fraction $\frac{1}{3}$.

${\left(\frac{1}{3}\right)}^2=\frac{1}{3}\times \frac{1}{3}=\frac{1}{9}$

As we can see $\frac{1}{3}>\frac{1}{9}$