How to Convert Two-Thirds Into a Percentage

Converting the fraction "2/3" into a percentage can be accomplished through the use of division. Convert two-thirds into a percentage with help from a distinguished math teacher in this free video clip.

Part of the Video Series: Algebra Help

Video Transcript

Hi, my name is Marija. I'm a mathematician and today I'm going to show you how to convert two-thirds into a percentage. So, the way that you convert any fraction into a percentage is you can just divide the denominator into the numerator, and then we're going to have to move the decimal space two spaces to the right to make it a percent. So, I'm going to do three into two. So, we're going to do some long division. Three can't go into two. So, what I'm going to have to do is put a decimal place here and add a zero to this so that I can do three into twenty. But before I do that, if you ever add a decimal, you've got to move it up into your quotient, ok? So, three goes into twenty six times, so I'm going to write that six above the zero, because three went into the whole number twenty, not two. So, I've got to write it above the last number I used. So, six times three is eighteen, and twenty minus eighteen is two. Now, again, three can't go into two. So, what I'm going to have to do is add another zero here and bring it down. Three goes into twenty, six times. Six times three is eighteen. Again, twenty minus eighteen is two. I'm noticing that a pattern is going to start happening, right? So, I'm bringing down this zero, as well. I get three into twenty is six. Of course, this is going to keep repeating. So, what I'm going to do is move this decimal two spaces like I told you, one, two, which means that my new decimal space is going to be right here. And recognize that that six is going to continuously repeat, so I'm going to put a bar over it. So, two-thirds becomes sixty-six point six repeating percent. My name is Marija, and I just showed you how to convert two-thirds into a percentage.

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