How to Write 8/9 as a Decimal

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Writing 8/9 as a decimal requires you to treat it like a division problem. Write 8/9 as a decimal with help from a professional private tutor in this free video clip.

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Video Transcript

Hi, I'm Rachel, and today we're going to be going over how to right eight-ninths as a decimal. If you have a fraction eight over nine, you should know that a fraction sign, all it means is just division, that's all it means. So that's really just saying eight divided by nine. That's all it is. If we're doing eight divided by nine, we can set it up like we set up most division problems, eight, so nine goes into eight. But, as we know, nine doesn't actually go into eight, right? So we have to put a decimal and a zero, because it doesn't go in, right? So then we're gonna have to line up the decimal. So, well eight doesn't go, nine doesn't go into eight, but it goes into 80, right? Well we know that nine time nine is 81, which is just short, 80 is just short of 81, so it has to be 8 times. We multiply nine times eight to get 72, right? And then we line them up and subtract them, right? So, we end up with 10 minus two is going to be eight, again. Again we do nine into 8, right? But, you can't do that, you have to bring down the zero. Nine into 80 again is going to be eight, just short of nine. And again, you can see, you're gonna nine times eight, well again that's 72, again you're gonna get eight for the remainder, and you're gonna do this again and again and again, because it keeps ending in eight, it's gonna go on forever. So, we end up saying .8 repeating, right? Eight over nine is .8 repeating, and that's how you right it as the decimal. You might also learn the trick that any number over nine is going to be that number after the decimal repeating. One-ninths is going to be .1 repeating, two-ninths, .2 repeating, and that's just something you can memorize, so you can always divide a number by nine. I'm Rachel, and thanks for learning with us today.


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