Q. 8 - Algebra 2

Question

Simplify the expression $\frac{7a}{15b^2}+\frac{b}{18ab}$.

Step-by-Step Solution

Answer

The simplified value of expression is $\frac{42a^2+5b^2}{90a{b}^2}$.

Step 1. Write down the given expression.

The given expression is $\frac{7a}{15b^2}+\frac{b}{18ab}$.

Step 2. Simplify the expression.

The given expression $\frac{7a}{15b^2}+\frac{b}{18ab}$is simplified as:

$\begin{array}{c}\frac{7a}{15b^2}+\frac{b}{18ab}=\frac{7a}{15b^2}+\frac{1}{18a}\\ =\frac{42a^2+5b^2}{90a{b}^2}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{42a^2+5b^2}{90a{b}^2}$