Q13. - Algebra 1

Question

The simplified value of the expression $-\frac{2}{3}.\left(-\frac{1}{11}\right)$.

Step-by-Step Solution

Answer

The simplified value of the expression $-\frac{2}{3}.\left(-\frac{1}{11}\right)$ is $\frac{2}{33}$.

Step 1.

The expression $-\frac{2}{3}·\left(-\frac{1}{11}\right)$.

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 two negative integers is always positive.

Step 3. Calculation.

Consider the expression $-\frac{2}{3}·\left(-\frac{1}{11}\right)$.

 

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,

$\begin{array}{c}-\frac{2}{3}·\left(-\frac{1}{11}\right)=+\frac{1·2}{3·11}\\ =\frac{2}{33}\end{array}$

 

Thus, the simplified value of the expression $-\frac{2}{3}·\left(-\frac{1}{11}\right)$ is $\frac{2}{33}$.