Different Ways to Show Fractions

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You can show fractions in a variety of different ways depending on the specifics of the problem at hand. Learn about different ways to show fractions 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 different ways to show fractions. So we'll start with a fraction like 1/4th and I'm going to show you a few different ways to express this fraction. The first way is through a diagram so if you're going to draw a diagram the denominator of the fraction always indicates how many equal pieces you're going to split your diagram up into so I'm going to go ahead and draw a rectangle. You can do a circle or whatever shape you want. The important part is to split your diagram into four equal pieces. So I'm going to go ahead and try my best to do that without a ruler, one, two, three, four pieces that look like they're equal. Now 1/4th means one out of four so I'm going to go ahead and shade just one of my four equal pieces and that represents one fourth. So that's a visual way to express a fraction. Another way to express a fraction would be as a decimal. So a fraction means division so in order to simplify this and make it a decimal we're going to divide. So we're doing 1 divided by 4 which is the same as 4 into 1. Now I know that 4 can't go into 1 so what I'm going to do is add a decimal and add a 0. As soon as you add a decimal when you're dividing you have to bring that decimal up into your quotients so I'm going to bring that decimal up. Now I do 4 into 10 which goes twice, 2 times 4 is 8, 10 minus 8 is 2, 4 can't go into 2 so I have to add another 0 and bring it down, 4 goes into 20 5 times, 5 times 4 is 20 and now I'm done dividing. So .25 is the decimal equivalent of my fraction 1/4th and then one other way to express a fraction is through percents. Once you have it as a decimal it's very easy to make it a percent. To make a decimal a percent you move two spaces to the right. So I'm going to take the decimal .25 and I'm going to go one, two spaces to the right which means that my decimal would now be after the 5 but because that makes it a whole number I don't need the decimal any more so now it's just 25%. So I can express the fraction 1/4th as a visual diagram shading in one out of four equal pieces. I can express it as a decimal by using division or I can express it as a percent by moving the decimal space over and making it a percent. My name is Marija and I just showed you different ways to express fractions.

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