Question

a jogging track has a length of 1496 yards (yd). how long is this in miles (mi)?
first fill in the blank on the left side of the equation using one of the ratios. then write your answer on the right side of the equation.
ratios:
$\frac{1\text{ ft}}{12\text{ in}}$ $\frac{12\text{ in}}{1\text{ ft}}$ $\frac{1\text{ mi}}{5280\text{ ft}}$ $\frac{5280\text{ ft}}{1\text{ mi}}$ $\frac{1760\text{ yd}}{1\text{ mi}}$ $\frac{1\text{ mi}}{1760\text{ yd}}$
$\frac{1496\text{ yd}}{1} \times \square = \square \text{ mi}$

Explanation:

Step1: Select correct conversion ratio

Choose $\frac{1\ \text{mi}}{1760\ \text{yd}}$ to cancel yards.

Step2: Set up unit conversion

$$\frac{1496\ \text{yd}}{1} \times \frac{1\ \text{mi}}{1760\ \text{yd}}$$

Step3: Cancel units & calculate

Cancel $\text{yd}$, compute $\frac{1496}{1760} = 0.85$

Answer:

0.85 mi