Art of Problem Solving

Conversions: Difference between revisions

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#REDIRECT [[Conversion ratio]]
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 <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.

Revision as of 18:34, 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 $3$ feet. Since we know there are $12$ inches in a foot, our conversion factor is $\frac{12\text{ inches}}{1\text{ feet}}$. Thus, there are \[3\;\cancel{\text{feet}}\cdot\frac{12\text{ inches}}{1\;\cancel{\text{feet}}}=\boxed{36\;\text{inches}}\] in $3$ feet.