Q75. - Algebra 1

Question

Find each product. Express in simplest form.

$\frac{12}{15}\cdot \frac{3}{14}$

Step-by-Step Solution

Answer

$\frac{12}{15}\cdot \frac{3}{14}=\frac{6}{35}$

Step 1. Write the given information.

The given expression is

$\frac{12}{15}\cdot \frac{3}{14}$

Step 2. Description of the step is.

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

Step 3. Calculation.

$\begin{array}{l}\frac{12}{15}\cdot \frac{3}{14}=\frac{12\times 3}{15\times 14}\\ =\frac{36}{210}\\ =\frac{18}{105}\\ =\frac{6}{35}\end{array}$

Thus

$\frac{12}{15}\cdot \frac{3}{14}=\frac{6}{35}$