Chapter 6.2, Problem 2WE

To determine

To calculate: The simplified form of the expression $\frac{4}{9}\cdot \frac{3}{16}$.

Answer to Problem 2WE

The simplified form of the expression $\frac{4}{9}\cdot \frac{3}{16}$ is $\frac{1}{12}$.

Explanation of Solution

Given information:

The expression $\frac{4}{9}\cdot \frac{3}{16}$.

Formula used:

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

Calculation:

Consider the expression $\frac{4}{9}\cdot \frac{3}{16}$.

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

Apply it,

  $\begin{array}{c}\frac{4}{9}\cdot \frac{3}{16}=\frac{4\times 3}{9\times 16}\\ =\frac{1}{3\times 4}\\ =\frac{1}{12}\end{array}$

Thus, the simplified form of the expression $\frac{4}{9}\cdot \frac{3}{16}$ is $\frac{1}{12}$.