Question

Find the product of $\left(\frac{2\text{square meters}}{5\text{dollars}}\right)30 \text{dollars}$. Include the appropriate units with your answer.

Short answer

The simplified multiplication is written as $\left(\frac{2\text{square meters}}{5\text{dollars}}\right)30 \text{dollars}=12\text{square meters}$.

Step-by-step solution

Step 1. Write down the given information.

The given multiplication to be evaluated is $\left(\frac{2\text{square meters}}{5\text{dollars}}\right)30 \text{dollars}$.

Step 2. Calculation.

Simplifying the given multiplication $\left(\frac{2\text{squaremeters}}{5\text{dollars}}\right)30\text{\hspace{0.17em}dollars}$.

$\begin{array}{c}\left(\frac{2\text{squaremeters}}{5\text{dollars}}\right)30\text{\hspace{0.17em}dollars}=\frac{2\text{squaremeters}}{5\text{dollars}}\times 30\text{\hspace{0.17em}dollars}\\ =12\text{\hspace{0.33em}squaremeters}\end{array}$

Step 3. Conclusion.

The simplified multiplication is written as $\left(\frac{2\text{square meters}}{5\text{dollars}}\right)30 \text{dollars}=12\text{square meters}$.