Question

The product of two proper fractions is both the fractions.

• A. greater than
• B. less than
• C. equal to

Answer 1

The correct option is B less than

The product of two proper fractions is less than both the fractions.
Consider $\frac{2}{3}\times \frac{4}{5}=\frac{8}{15}$, where $\frac{2}{3}=\frac{10}{15}$ and $\frac{4}{5}=\frac{12}{15}$.
(To compare fractions, we must conver the fractions to like fractions.)
Note that the product $\frac{8}{15}$ is less than both $\frac{10}{15}$ and $\frac{12}{15}$.
Thus, $\frac{8}{15}$ is less than both $\frac{2}{3}$ and $\frac{4}{5}$.
In other words, the product of two proper fractions is always less than both the fractions.