Question

Which of the following expressions uses the correct conversion factor to convert 35.7 km into the equivalent distance in miles?A) 35.7 km × 1 km/1.609 milesB) 35.7 km × 1 mile/1.609 milesC) 35.7 km × 1 km/1.609 kmD) 35.7km × 1 mile/1.609 km

Answer 1

Answer: D) 35.7km × 1 mile/1.609 km

Explanation:

Given that;

We need to convert 35.7km to miles

And we know that 1.609km makes 1 mile = 1.609km/1mile

To convert it to mile we need to obtain the number of miles per kilometre

= 1/(1.609km/mile)

= 1mile/1.609km

Then we can now multiply the conversion rate by the number.

= 35.7km × 1mile/1.609km

= 22.19 miles

Note that the sign must cancel out to give miles.