paige walks to the park $\frac{2}{3}$ mile away. it takes her 16 minutes to get there. paige wants to know…

paige walks to the park $\frac{2}{3}$ mile away. it takes her 16 minutes to get there. paige wants to know her speed in miles per minute. first, rewrite division as multiplication using the reciprocal of 16. $\frac{\frac{2}{3}}{16}=\frac{2}{3}div16=\frac{2}{3}cdotsquare$

paige walks to the park $\frac{2}{3}$ mile away. it takes her 16 minutes to get there. paige wants to know her speed in miles per minute. first, rewrite division as multiplication using the reciprocal of 16. $\frac{\frac{2}{3}}{16}=\frac{2}{3}div16=\frac{2}{3}cdotsquare$

Answer

Explanation:

Step1: Recall reciprocal concept

The reciprocal of 16 is $\frac{1}{16}$. When dividing by a number, we multiply by its reciprocal. So $\frac{2}{3}\div16=\frac{2}{3}\times\frac{1}{16}$.

Step2: Calculate the product

$\frac{2}{3}\times\frac{1}{16}=\frac{2\times1}{3\times16}=\frac{2}{48}=\frac{1}{24}$.

Answer:

$\frac{1}{24}$