Question

The product of two proper fractions is greater than either of the fractions.

• A. True
• B. False

Answer 1

The correct option is B

False

The product of two proper fractions is less than either of the fractions, as it would mean taking a fraction of the other part, which would always be less than the whole.
For eg, $\frac{2}{3}\times \frac{4}{5}=\frac{8}{15}$
Here, $\frac{8}{15}<\frac{2}{3}$ as $\frac{8}{15}<\frac{10}{15}$ (multiplying the numerator and denominator of $\frac{2}{3}$ by $5$)
Also, $\frac{8}{15}<\frac{4}{5}$ as $\frac{8}{15}<\frac{12}{15}$ (multiplying the numerator and denominator of $\frac{4}{5}$ by $3$)