Chapter 6.2, Problem 1OE

To determine

To calculate: The simplified form of the expression $\frac{6}{5}\cdot \frac{10}{3}$.

Answer to Problem 1OE

The simplified form of the expression $\frac{6}{5}\cdot \frac{10}{3}$ is $4$.

Explanation of Solution

Given information:

The expression $\frac{6}{5}\cdot \frac{10}{3}$.

Formula used:

Fractions are multiplied as $\frac{a}{b}\cdot \frac{c}{d}=\frac{ab}{cd}$.

Calculation:

Consider the expression $\frac{6}{5}\cdot \frac{10}{3}$.

Recall that fractions are multiplied as $\frac{a}{b}\cdot \frac{c}{d}=\frac{ab}{cd}$.

Apply it,

  $\begin{array}{c}\frac{6}{5}\cdot \frac{10}{3}=\frac{6\times 10}{5\times 3}\\ =\frac{60}{15}\\ =4\end{array}$

Thus, the simplified form of the expression $\frac{6}{5}\cdot \frac{10}{3}$ is $4$.