Converting Percentages Into Fractions
At one point or another you will need to transform a percentage into its equivalent fraction.
For instance, the color of paint you need is not available at any local store and you need the paint today. Someone from one of the stores you went to advised you to mix two paint colors to achieve the specific color combination you need. Let's say he told you that the combination is 25% Red #2 and the rest is Pearl White.
You just need one gallon of this specific paint color, and you already have a few gallons of Pearl White paint stored away from a previous project. So, how many gallons of Red #2 do you need? The answer is
^{1}/
_{4}. How did we come up with that?
Aside from 25% =
^{1}/
_{4} being common knowledge, we can solve this by dividing 25 by 100. Since percent means "per one hundred" then the fraction form of any percentage is the number divided by 100. So, 25 =
^{25}/
_{100}. Since this is not its simplest form, we reduce this fraction or simplify it. We divide both numerator and denominator by their common factor, 25.
Let's use another percentage and convert it into its fractional form: 35% =
^{7}/
_{20}.
Here's how we came up with that:
35% =
^{35}/
_{100} Unlike 25, we cannot use 35 to divide 100 and end up with a whole number. So, we looked for the greatest common factor, and found 5. Next, we divided both numerator and denominator by 5.