Glencoe Math: Course 2, Volume 1
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Glencoe Math: Course 2, Volume 1 View details
3. Convert Unit Rates
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Exercise 4 Page 29

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

0.65625gal/week

Practice makes perfect
We want to express 1.5 cups per day in gallons per week. 1.5 c/day= gal/week

This means that we need to change cups per day into gallons per week. Let's start by organizing the relationships between the units in a table.

Starting Unit Converted Unit Unit Ratio
16 cups 1 gallon 16c/1gal
7 days 1 week 7days/1week
To perform this conversion, we need to multiply the given value in cups per day by each unit ratio or its reciprocal. Remember, we want to arrange these ratios such that every unit we do not want gets canceled out, and only the units that we want will remain.
1.5c/day = 1.5c/1day * 1gal/16c * 7days/1week
1.5c/day = 1.5c * 1gal * 7days/1day* 16c* 1 week
1.5c/day = 1.5 c * 1gal * 7 days/1 day* 16 c* 1 week
1.5c/day = 1.5 * 1gal * 7/1* 16* 1 week
1.5c/day = 10.5gal/16weeks
1.5c/day = 0.65625gal/week
We found that the pipe is leaking at 0.65625 gallons per week.

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