Question

Find each product. Express in simplest form. (Lesson 0-5)

$\frac{1}{3}\cdot \frac{2}{5}$

Short answer

The value of the expression is $\frac{2}{15}$.

Step-by-step solution

Step 1. Write the given information.

The given expression is

$\frac{1}{3}\cdot \frac{2}{5}$

Step 2. Description of the step is.

The product of any two rational numbers is obtained by multiplying numerator with the numerator and denominators with each other and then reducing it in simple fractions.

Step 3. Calculation.

$\begin{array}{l}\frac{1}{3}\cdot \frac{2}{5}=\frac{1\times 2}{3\times 5}\\ =\frac{2}{15}\end{array}$

Thus

$\frac{1}{3}\cdot \frac{2}{5}=\frac{2}{15}$