Q8. - Algebra 2

Question

Simplify the expression $\frac{35}{16x^2}÷\frac{21}{4x}$.

Step-by-Step Solution

Answer

The simplified value of expression is $\frac{5}{12x}$.

Step 1. Write down the given expression.

The given expression is $\frac{35}{16x^2}÷\frac{21}{4x}$.

Step 2. Simplify the expression.

The given expression $\frac{35}{16x^2}÷\frac{21}{4x}$ is simplified as:

$\begin{array}{l}\frac{35}{16x^2}÷\frac{21}{4x}=\frac{35}{16x^2}\times \frac{4x}{21}\\ =\frac{5}{4x^2}\times \frac{1x}{3}\\ =\frac{5x^{1-2}}{12}\\ =\frac{5x^{-1}}{12}\\ =\frac{5}{12x}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{5}{12x}$.