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Let's see if we can write twelve point nine eight as a mixed number.

2
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So, the first thing you might want to realize here is that this is the exact same thing

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as twelve plus zero point nine eight.

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And this simplifies it, because then we just have to write it as twelve and some fraction that's the same

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thing as zero point nine eight. So, if we can write zero point nine eight as a fraction

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then we can, we're essentially, we're almost done!

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So let's see if we can do that.

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So, this nine right over here is in the tenths place.

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I'll just write it like that. Tenths place. And this right over here is in the hundredths place.

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It's in the hundredths place. So you can view zero point nine eight two different ways.

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You can view it as nine tenths. Nine tenths.

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That's this part over here, nine tenths plus plus eight hundredths, plus eight hundredths.

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And if you want to find a common denominator that would be the same thing as ninety over one hundred

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plus eight over one hundred. Plus eight over one hundred, which is equal to ninety-eight over one hundred.

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Equal to ninety-eight over one hundred. And so, zero point nine eight is ninety-eight hundredths.

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And another way you could have said that is, "Look, this space over here is in the hundredths place. And so this is ninety-eight hundreds, or ninety-eight hundredths."

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So, you could have skipped this right over here. So, if we wanted to write this as a mixed number,

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we could just write it as twelve and, instead of zero point nine eight, twelve and ninety-eight hundredths.

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Now, we haven't reduced this to lowest terms. So, let's se if we can simplify this.

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Ninety-eight is divisible by two, and so is a hundred. So, lets divide both of them

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by two. They have that common factor. So, we can divide both of them by two.

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And so, this is the same thing as twelve and ninety-eight divided by two is nine is forty-nine.

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A hundred divided by two is fifty. And I think that's about as far as we can do.

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Forty-nine's factors, it's divisible by seven, but fifty isn't.

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So we've put it in lowest terms. So, twelve point nine eight can be written as a mixed number,

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twelve and forty-nine fiftieths.