[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.52,0:00:06.43,Default,,0000,0000,0000,,Let's see if we can write twelve point nine eight as a mixed number.
Dialogue: 0,0:00:06.43,0:00:10.10,Default,,0000,0000,0000,,So, the first thing you might want to realize here is that this is the exact same thing
Dialogue: 0,0:00:10.10,0:00:14.20,Default,,0000,0000,0000,,as twelve plus zero point nine eight.
Dialogue: 0,0:00:14.20,0:00:18.59,Default,,0000,0000,0000,,And this simplifies it, because then we just have to write it as twelve and some fraction that's the same
Dialogue: 0,0:00:18.59,0:00:23.72,Default,,0000,0000,0000,,thing as zero point nine eight. So, if we can write zero point nine eight as a fraction
Dialogue: 0,0:00:23.72,0:00:26.30,Default,,0000,0000,0000,,then we can, we're essentially, we're almost done!
Dialogue: 0,0:00:26.30,0:00:27.95,Default,,0000,0000,0000,,So let's see if we can do that.
Dialogue: 0,0:00:27.95,0:00:30.76,Default,,0000,0000,0000,,So, this nine right over here is in the tenths place.
Dialogue: 0,0:00:30.76,0:00:36.38,Default,,0000,0000,0000,,I'll just write it like that. Tenths place. And this right over here is in the hundredths place.
Dialogue: 0,0:00:36.38,0:00:40.73,Default,,0000,0000,0000,,It's in the hundredths place. So you can view zero point nine eight two different ways.
Dialogue: 0,0:00:40.73,0:00:43.81,Default,,0000,0000,0000,,You can view it as nine tenths. Nine tenths.
Dialogue: 0,0:00:43.81,0:00:53.05,Default,,0000,0000,0000,,That's this part over here, nine tenths plus plus eight hundredths, plus eight hundredths.
Dialogue: 0,0:00:53.05,0:00:59.60,Default,,0000,0000,0000,,And if you want to find a common denominator that would be the same thing as ninety over one hundred
Dialogue: 0,0:00:59.60,0:01:07.44,Default,,0000,0000,0000,,plus eight over one hundred. Plus eight over one hundred, which is equal to ninety-eight over one hundred.
Dialogue: 0,0:01:07.44,0:01:15.46,Default,,0000,0000,0000,,Equal to ninety-eight over one hundred. And so, zero point nine eight is ninety-eight hundredths.
Dialogue: 0,0:01:15.46,0:01:22.24,Default,,0000,0000,0000,,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."
Dialogue: 0,0:01:22.24,0:01:25.47,Default,,0000,0000,0000,,So, you could have skipped this right over here. So, if we wanted to write this as a mixed number,
Dialogue: 0,0:01:25.47,0:01:32.96,Default,,0000,0000,0000,,we could just write it as twelve and, instead of zero point nine eight, twelve and ninety-eight hundredths.
Dialogue: 0,0:01:32.96,0:01:37.39,Default,,0000,0000,0000,,Now, we haven't reduced this to lowest terms. So, let's se if we can simplify this.
Dialogue: 0,0:01:37.39,0:01:42.70,Default,,0000,0000,0000,,Ninety-eight is divisible by two, and so is a hundred. So, lets divide both of them
Dialogue: 0,0:01:42.70,0:01:47.06,Default,,0000,0000,0000,,by two. They have that common factor. So, we can divide both of them by two.
Dialogue: 0,0:01:47.06,0:01:52.02,Default,,0000,0000,0000,,And so, this is the same thing as twelve and ninety-eight divided by two is nine is forty-nine.
Dialogue: 0,0:01:52.02,0:01:57.74,Default,,0000,0000,0000,,A hundred divided by two is fifty. And I think that's about as far as we can do.
Dialogue: 0,0:01:57.79,0:02:01.13,Default,,0000,0000,0000,,Forty-nine's factors, it's divisible by seven, but fifty isn't.
Dialogue: 0,0:02:01.13,0:02:06.61,Default,,0000,0000,0000,,So we've put it in lowest terms. So, twelve point nine eight can be written as a mixed number,
Dialogue: 0,0:02:06.61,0:02:11.00,Default,,0000,0000,0000,,twelve and forty-nine fiftieths.