How to Compare Percentages, Fractions & Decimals

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Comparing percentages, fractions and decimals always requires you to keep a few very important things in mind. Compare fractions, percentages and decimals with help from an experienced mathematics educator in this free video clip.

Part of the Video Series: Elementary Math
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Video Transcript

Hi my name is Marija, I'm a mathematician and today I'm going to show you how to compare fractions, percents and decimals. So if you're given three different values, one fraction, one percent and one decimal and asked for example to place them in order from least to greatest. What you need to do is have all three of these numerals in one format. So you either need to have them all written as fractions, all written as percents and all written as decimals. Which you decide to do does not matter, it's up to you and up to you depending on what is easiest dealing with the numbers that you have. So I'm going to go ahead and make them all into percents because that's what looks easiest to me right now. So I have 50 percent, I'm going to leave that one. To make a decimal into a percent, you have to move the decimal two spaces to the right. And the easiest way to think about that is decimal percent in the alphabet, if you're going from D to P, you're moving to the right, so decimal to percent you move right, and it's always two spaces. So .6 is actually going to become 60 percent, right? Because I'm taking that six and I'm going one two. 50 percent is obviously going to stay 50 percent, and now three fourths, there's a few different ways I can make this into a percent. I can make it a decimal first and then convert, or I can say I know that a percent is out of 100. So I want to know three fourths is going to be equivalent to what over 100. Well to get from four to 100, I do times 25. So that means I'd have to do three times 25 and if I do that, I get 75. So that means this is equivalent to 75 percent. So now I've done the most important part, which is to get them all into one representation, the same representation. They're all percents, and now I can easily compare them. 50 percent is obviously my lowest percent, 60 percent comes next, and 75 percent comes last. My name is Marija and I showed you how to compare fractions, percents and decimals.

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