Q. 29 - Algebra 2

Question

Simplify the expression $\frac{11}{9}-\frac{7}{2w}-\frac{6}{5w}$.

Step-by-Step Solution

Answer

The simplified value of expression is $\frac{110w-423}{90w}$.

Step 1. Write down the given expression.

The given expression is $\frac{11}{9}-\frac{7}{2w}-\frac{6}{5w}$.

Step 2. Simplify the expression.

The given expression $\frac{11}{9}-\frac{7}{2w}-\frac{6}{5w}$is simplified as:

$\begin{array}{c}\frac{11}{9}-\frac{7}{2w}-\frac{6}{5w}=\frac{11}{9}-\frac{7}{2w}-\frac{6}{5w}\\ =\frac{110w-315-108}{90w}\\ =\frac{110w-423}{90w}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{110w-423}{90w}$.