Glencoe Math: Course 1, Volume 1
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Glencoe Math: Course 1, Volume 1 View details
5. Convert Measurement Units
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Exercise 1 Page 292

Rewrite the expression so that the all of the numbers are fractions. Use the equivalent rate that 1 yard is equal to 3 feet.

5 13yd=16ft

Practice makes perfect
Let's start by copying the given statement. 5 13yd&= ft Converting between yards (yd) and feet (ft) will involve using an equivalent rate. 3ft/1yd Multiplying 5 13yd by this conversion factor will convert it to feet. This way, we have an expression with a mixed number. 5 13yd*3ft/1yd Before we evaluate such expressions, we should rewrite the expression so that all of the numbers are fractions. We can rewrite any mixed number into a fraction using the method below.
a bc
a+b/c
c* a/c+b/c
a* c/c+b/c
a* c+b/c
Let's rewrite our expression so that all of the numbers are fractions!
5 13yd*3ft/1yd
5* 3+1/3yd*3ft/1yd
15+1/3yd*3ft/1yd
16/3yd*3ft/1yd
16yd/3*3ft/1yd
16yd* 3ft/3* 1yd
16yd* 3 ft/3 * 1yd
16* 1ft/1* 1
16ft/1
16ft
To complete the given statement, we will substitute 16 into the blank space. 5 13yd&=16ft

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. Conversions can also be made for different measurement types: length, mass, temperature, time, area, or volume.
Conversion factors between different units of measurement
All across the globe, humans use conversion factors on a daily basis. Want to use a recipe that is written using milliliters? Convert it! Want to compare your height to that of an Olympic athlete? Convert it! You can read more about applications of conversion factors in our original content.

Dimensional Analysis and Using Units