an office printer printed an 18 - page report in $\frac{2}{3}$ of a minute. what is its print speed…

an office printer printed an 18 - page report in $\frac{2}{3}$ of a minute. what is its print speed? simplify your answer and write it as a proper fraction, mixed number, or whole number. pages per minute

Answer

Explanation:

Step1: Recall speed - formula

Speed = $\frac{\text{Number of pages}}{\text{Time}}$.

Step2: Substitute values

We know number of pages = 18 and time = $\frac{2}{3}$ minute. So speed = $\frac{18}{\frac{2}{3}}$.

Step3: Divide by a fraction

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{18}{\frac{2}{3}}=18\times\frac{3}{2}$.

Step4: Simplify the product

$18\times\frac{3}{2}=\frac{18\times3}{2}=\frac{54}{2} = 27$.