Question

In the following exercises, Perform the indicated operation, $\frac{6x}{25}÷\frac{9y}{20}$

Short answer

The simplified value of the given expression is$\frac{8x}{15y}$

Step-by-step solution

Step 1, Given information 

The given expression is$\frac{6x}{25}÷\frac{9y}{20}$$\frac{6x}{25}÷\frac{9y}{20}$

Step 2. Perform division operation

If $a,b,c,d$are numbers then $\frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$$\begin{gathered} \frac{6x}{25}÷\frac{9y}{20} \\ =\frac{6x}{25}\times \frac{20}{9y} \end{gathered}$$

Reducing numerator and denominator

$$\begin{gathered} \frac{6x}{25}\times \frac{20}{9y} \\ =\frac{2x}{5}\times \frac{4}{3y} \\ =\frac{8x}{15y} \end{gathered}$$

Step 3. Description of step.  

Hence, the value of the given expression is$\frac{8x}{15y}$