Question

In the following exercises, perform the indicated operation.

$\left(-\frac{14}{15}\right)\left(\frac{10}{21}\right)$

Short answer

The simplest form of the given expression is$-\frac{4}{9}$.

Step-by-step solution

Step 1. Given information

The given expression is$\left(-\frac{14}{15}\right)\left(\frac{10}{21}\right)$.

Step 2. Simplify

$$\begin{gathered} \left(-\frac{14}{15}\right)\left(\frac{10}{21}\right)=-\frac{14\times 10}{15\times 21}\text{rewritetheexpression} \\ =-\frac{2\times 7\times 2\times 5}{3\times 5\times 3\times 7}\text{Factorize} \\ =-\frac{2\times 2}{3\times 3}\text{Cancelcommonfactorsinnumeratoranddenominator} \\ =-\frac{4}{9} \end{gathered}$$

Hence,$\left(-\frac{14}{15}\right)\left(\frac{10}{21}\right)=-\frac{4}{9}$