Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
6. Converting Measures
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Exercise 7 Page 144

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

240yd/min

Practice makes perfect
Let's start by writing the given statement. 12ft/sec&=yd/min In this exercise, we need to change feet per second into yards per minute. Since this will involve multiple conversion factors, let's organize them in a table.
Starting Unit Converted Unit
3 feet 1 yard
60 seconds 1 minute
To perform this conversion, we need to multiply the given value by all of these conversion factors. Remember, we need to arrange these ratios such that every unit we do not want gets canceled out and only the units that we want will remain.
12 ft/sec * 1 yd/3 ft * 60 sec/1 min
12 ft * 1 yd * 60 sec/sec * 3 ft * 1 min

Cancel out common units

12 ft * 1 yd * 60 sec/sec * 3 ft * 1 min
12 * 1 yd * 60/3 * 1 min
720 yd/3min
720/3 * yd/min
240 * yd/min
We found that 12ft/sec is equal to 240yd/min. We can now complete the given statement. 12ft/sec&=240yd/min

Extra

Common Conversion Factors
The following tool can be used to help you explore some of the most commonly used conversion factors. Conversions can be made both within or between the Metric System and the Imperial System — which is 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