Question

The table shows conversions for common units of length.

Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers

What is the conversion factor to convert kilometers to miles?
StartFraction 1 kilometer Over 1.61 miles EndFraction
StartFraction 1 mile Over 1.61 kilometers EndFraction
StartFraction 0.3048 kilometers Over 1 mile EndFraction
StartFraction 0.3048 miles Over 1 kilometer EndFraction

Answer 1

To convert kilometers to miles, you can use the conversion factor given in the table where 1 mile is equivalent to 1.61 kilometers. To find the conversion factor for kilometers to miles, you need to express this relationship in the form of a fraction.

From the conversion from miles to kilometers:
1 mile = 1.61 kilometers

To find the conversion factor from kilometers to miles, you take the reciprocal of this relationship:

1 kilometer = \( \frac{1}{1.61} \) miles.

Thus, the conversion factor to convert kilometers to miles is:

\[
\frac{1 \text{ mile}}{1.61 \text{ kilometers}}
\]

Therefore, the correct answer is:

\[
\text{StartFraction 1 mile Over 1.61 kilometers EndFraction}
\]