0:00:00.517,0:00:06.427
Let's see if we can write twelve point nine eight as a mixed number.

0:00:06.427,0:00:10.096
So, the first thing you might want to realize here is that this is the exact same thing

0:00:10.096,0:00:14.202
as twelve plus zero point nine eight.

0:00:14.202,0:00:18.594
And this simplifies it, because then we just have to write it as twelve and some fraction that's the same

0:00:18.594,0:00:23.721
thing as zero point nine eight. So, if we can write zero point nine eight as a fraction

0:00:23.721,0:00:26.305
then we can, we're essentially, we're almost done!

0:00:26.305,0:00:27.946
So let's see if we can do that.

0:00:27.946,0:00:30.762
So, this nine right over here is in the tenths place.

0:00:30.762,0:00:36.382
I'll just write it like that. Tenths place. And this right over here is in the hundredths place.

0:00:36.382,0:00:40.734
It's in the hundredths place. So you can view zero point nine eight two different ways.

0:00:40.734,0:00:43.812
You can view it as nine tenths. Nine tenths.

0:00:43.812,0:00:53.054
That's this part over here, nine tenths plus plus eight hundredths, plus eight hundredths.

0:00:53.054,0:00:59.601
And if you want to find a common denominator that would be the same thing as ninety over one hundred

0:00:59.601,0:01:07.436
plus eight over one hundred. Plus eight over one hundred, which is equal to ninety-eight over one hundred.

0:01:07.436,0:01:15.455
Equal to ninety-eight over one hundred. And so, zero point nine eight is ninety-eight hundredths.

0:01:15.455,0:01:22.235
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."

0:01:22.235,0:01:25.468
So, you could have skipped this right over here. So, if we wanted to write this as a mixed number,

0:01:25.468,0:01:32.963
we could just write it as twelve and, instead of zero point nine eight, twelve and ninety-eight hundredths.

0:01:32.963,0:01:37.392
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

0:01:42.697,0:01:47.064
by two. They have that common factor. So, we can divide both of them by two.

0:01:47.064,0:01:52.020
And so, this is the same thing as twelve and ninety-eight divided by two is nine is forty-nine.

0:01:52.020,0:01:57.744
A hundred divided by two is fifty. And I think that's about as far as we can do.

0:01:57.794,0:02:01.130
Forty-nine's factors, it's divisible by seven, but fifty isn't.

0:02:01.130,0:02:06.614
So we've put it in lowest terms. So, twelve point nine eight can be written as a mixed number,

0:02:06.614,0:02:11.000
twelve and forty-nine fiftieths.