Q12. - Algebra 1

Question

The simplified value of the expression $-\frac{1}{3}.\frac{2}{5}$.

Step-by-Step Solution

Answer

The simplified value of the expression $-\frac{1}{3}.\frac{2}{5}$ is $-\frac{2}{15}$.

Step 1.

The expression $-\frac{1}{3}·\frac{2}{5}$.

Step 2. Concept.

The product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs $\left(\right),\times \mathrm{or}·$.

 

The product of a positive and a negative integer is always negative.

Step 3. Calculation.

Consider the expression $-\frac{1}{3}·\frac{2}{5}$.

 

Recall that product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs $\left(\right),\times \mathrm{or}·$.

 

Simplify it,

$\begin{array}{c}-\frac{1}{3}·\frac{2}{5}=-\frac{1·2}{3·5}\\ =-\frac{2}{15}\end{array}$

          

Thus, the simplified value of the expression $-\frac{1}{3}·\frac{2}{5}$ is $-\frac{2}{15}$.