Q76. - Algebra 1

Question

Find each product. Express in simplest form.

$\frac{5}{7}\cdot \left(-\frac{4}{5}\right)$

Step-by-Step Solution

Answer

The value of the expression is $-\frac{4}{7}$.

Step 1. Write the given information.

The expression given is

$\frac{5}{7}\cdot \left(-\frac{4}{5}\right)$

Step 2. Description of step.

To solve the given expression, first, remove the brackets and then multiply the numerators of both terms with each other and similarly multiply both denominators with each other.

Step 3. Calculaion.

$\begin{array}{l}\frac{5}{7}\cdot \left(-\frac{4}{5}\right)=\frac{5\times \left(-4\right)}{7\times 5}\\ =\frac{-20}{35}\end{array}$

Now reduce the obtained fraction as 

$\begin{array}{l}\frac{-20}{35}=\frac{-4}{7}\\ =-\frac{4}{7}\end{array}$

Hence, 

$\frac{5}{7}\cdot \left(-\frac{4}{5}\right)=-\frac{4}{7}$