Glencoe Math: Course 2, Volume 1
GM
Glencoe Math: Course 2, Volume 1 View details
3. Convert Unit Rates
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Exercise 15 Page 31

When multiplying conversion factors, make sure the only remaining units are the desired units.

45mi/h=66ft/s

Practice makes perfect
Let's start by writing the given statement. 45 mi/h= ft/s In this exercise, we need to change miles per hour into feet per second. Let's start by organizing the relationships between the units in a table.
Starting Unit Converted Unit Unit Ratio
1 mile 5280 feet 5280ft/1mi
1 hour 60minute 60min/1h
1minute 60 seconds 60s/1min
To perform this conversion, we need to multiply 45 miles per hour by each unit ratio or its reciprocal. Remember, we want to arrange these ratios such that each unit we do not want gets canceled out, and only the units that we want will remain.
45mi/1h * 5280ft/1mi * 1h/60min* 1min/60s
45mi * 5280ft * 1h* 1min/1h* 1mi* 60min * 60s
45 mi * 5280ft * 1 h* 1 min/1 h* 1 mi* 60 min * 60s
45 * 5280ft * 1* 1/1* 1* 60 * 60s
237 600ft/3600s
66ft/s
We can now complete the given statement. 45 mi/h=66 ft/s

Extra

Common Conversion Factors
Use the following tool to explore some of the most commonly used conversion factors. Conversions can be made both within or between the metric system and the imperial system, also known as the U.S. Customary System.
Conversion factors between different units of measurement
Around the world, people use conversion factors on a regular basis. You can read more about some practical applications of conversion factors in our original content.

Dimensional Analysis and Using Units