Conversions: Difference between revisions
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=== Example === | === Example === | ||
Suppose we wanted to know how many inches are in <math>3</math> feet. Since we know there are <math>12</math> inches in a foot, our conversion factor is <math>\frac{12\text{ inches}}{1\text{ feet}}</math>. Thus, there are <cmath>3\;\cancel{\text{feet}}\cdot\frac{12\text{ inches}}{1\;\cancel{\text{feet}}}=\boxed{36\;\text{inches}}</cmath> in <math>3</math> feet. | Suppose we wanted to know how many inches are in <math>3</math> feet. Since we know there are <math>12</math> inches in a foot, our conversion factor is <math>\frac{12\text{ inches}}{1\text{ feet}}</math>. Thus, there are <cmath>3\;\cancel{\text{feet}}\cdot\frac{12\text{ inches}}{1\;\cancel{\text{feet}}}=\boxed{36\;\text{inches}}</cmath> in <math>3</math> feet. | ||
[[Category:Prealgebra]] | |||
Latest revision as of 18:36, 19 September 2020
A conversion is a special type of ratio used to convert from one unit of measurement to another. These ratios are known as conversion factors.
Example
Suppose we wanted to know how many inches are in 
feet. Since we know there are 
inches in a foot, our conversion factor is 
. Thus, there are ![\[3\;\cancel{\text{feet}}\cdot\frac{12\text{ inches}}{1\;\cancel{\text{feet}}}=\boxed{36\;\text{inches}}\]](http://latex.artofproblemsolving.com/5/3/5/535804ef899e336c1691af78dd75c9d5a60f25eb.png)
in feet.
