[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.00,0:00:00.55,Default,,0000,0000,0000,,
Dialogue: 0,0:00:00.55,0:00:05.40,Default,,0000,0000,0000,,Let's add 19 and\N3/18 to 18 and 2/3.
Dialogue: 0,0:00:05.40,0:00:07.64,Default,,0000,0000,0000,,So I like to separate out\Nthe whole number parts
Dialogue: 0,0:00:07.64,0:00:08.74,Default,,0000,0000,0000,,from the fraction parts.
Dialogue: 0,0:00:08.74,0:00:14.59,Default,,0000,0000,0000,,So 19 and 3/18 is the same\Nthing as 19 plus 3/18.
Dialogue: 0,0:00:14.59,0:00:18.70,Default,,0000,0000,0000,,And to that, we are\Ngoing to add 18 and 2/3,
Dialogue: 0,0:00:18.70,0:00:23.69,Default,,0000,0000,0000,,which is the same\Nthing as 18 plus 2/3.
Dialogue: 0,0:00:23.69,0:00:26.52,Default,,0000,0000,0000,,Now we can separately add\Nthe whole number parts.
Dialogue: 0,0:00:26.52,0:00:29.30,Default,,0000,0000,0000,,So we could add\Nthe 19 to the 18.
Dialogue: 0,0:00:29.30,0:00:33.21,Default,,0000,0000,0000,,So we could do 19 plus 18.
Dialogue: 0,0:00:33.21,0:00:36.96,Default,,0000,0000,0000,,And then we can add\Nthe fraction parts--
Dialogue: 0,0:00:36.96,0:00:42.90,Default,,0000,0000,0000,,let me do this in green--\Nplus 3/18 plus 2/3.
Dialogue: 0,0:00:42.90,0:00:46.08,Default,,0000,0000,0000,,
Dialogue: 0,0:00:46.08,0:00:48.97,Default,,0000,0000,0000,,Now 19/18, pretty\Nstraightforward.
Dialogue: 0,0:00:48.97,0:00:49.83,Default,,0000,0000,0000,,That is what?
Dialogue: 0,0:00:49.83,0:00:50.33,Default,,0000,0000,0000,,Let's see.
Dialogue: 0,0:00:50.33,0:00:51.74,Default,,0000,0000,0000,,19 plus 19 would be 38.
Dialogue: 0,0:00:51.74,0:00:53.40,Default,,0000,0000,0000,,So this is going to\Nbe 1 less than that.
Dialogue: 0,0:00:53.40,0:00:54.88,Default,,0000,0000,0000,,It's going to be 37.
Dialogue: 0,0:00:54.88,0:00:57.06,Default,,0000,0000,0000,,So that gives me 37.
Dialogue: 0,0:00:57.06,0:00:59.83,Default,,0000,0000,0000,,And then 3/18 plus\N2/3, to add them,
Dialogue: 0,0:00:59.83,0:01:01.64,Default,,0000,0000,0000,,I need to have the\Nsame denominator.
Dialogue: 0,0:01:01.64,0:01:05.53,Default,,0000,0000,0000,,And the least common\Nmultiple of 18 and 3 is 18.
Dialogue: 0,0:01:05.53,0:01:09.25,Default,,0000,0000,0000,,So let's convert 2/3\Nto something over 18.
Dialogue: 0,0:01:09.25,0:01:13.81,Default,,0000,0000,0000,,So 2/3, if I want to write\Nit as something over 18,
Dialogue: 0,0:01:13.81,0:01:16.55,Default,,0000,0000,0000,,well, I multiplied\Nthe denominator by 6,
Dialogue: 0,0:01:16.55,0:01:19.06,Default,,0000,0000,0000,,so I'd also have to\Nmultiply the numerator by 6.
Dialogue: 0,0:01:19.06,0:01:22.58,Default,,0000,0000,0000,,So it's the same thing as 12/18.
Dialogue: 0,0:01:22.58,0:01:27.39,Default,,0000,0000,0000,,So I can rewrite 2/3 as 12/18.
Dialogue: 0,0:01:27.39,0:01:29.39,Default,,0000,0000,0000,,And now I can add these\Ntwo things together.
Dialogue: 0,0:01:29.39,0:01:33.24,Default,,0000,0000,0000,,That's going to be-- so\NI have 37 plus-- it's
Dialogue: 0,0:01:33.24,0:01:37.96,Default,,0000,0000,0000,,going to be something over\N18-- plus something over 18.
Dialogue: 0,0:01:37.96,0:01:42.45,Default,,0000,0000,0000,,3 plus 12 is 15, plus 15/18.
Dialogue: 0,0:01:42.45,0:01:44.16,Default,,0000,0000,0000,,And so expressing this\Nas a mixed number,
Dialogue: 0,0:01:44.16,0:01:48.93,Default,,0000,0000,0000,,I get 37 and 15/18.
Dialogue: 0,0:01:48.93,0:01:51.05,Default,,0000,0000,0000,,And that's the right number.
Dialogue: 0,0:01:51.05,0:01:52.52,Default,,0000,0000,0000,,But we can simplify\Nit even more.
Dialogue: 0,0:01:52.52,0:01:54.16,Default,,0000,0000,0000,,We can simplify the 15/18.
Dialogue: 0,0:01:54.16,0:01:58.33,Default,,0000,0000,0000,,Both the numerator and the\Ndenominator are divisible by 3.
Dialogue: 0,0:01:58.33,0:02:00.08,Default,,0000,0000,0000,,So let's divide them both by 3.
Dialogue: 0,0:02:00.08,0:02:02.00,Default,,0000,0000,0000,,And we're not changing\Nthe value because we're
Dialogue: 0,0:02:02.00,0:02:04.68,Default,,0000,0000,0000,,doing the same thing to the\Nnumerator and the denominator.
Dialogue: 0,0:02:04.68,0:02:09.79,Default,,0000,0000,0000,,And so this gives us,\Nwe still have our 37,
Dialogue: 0,0:02:09.79,0:02:14.40,Default,,0000,0000,0000,,but the numerator is now 5,\Nand the denominator is now 6.
Dialogue: 0,0:02:14.40,0:02:16.02,Default,,0000,0000,0000,,So we get 37 and 5/6.
Dialogue: 0,0:02:16.02,0:02:19.08,Default,,0000,0000,0000,,
Dialogue: 0,0:02:19.08,0:02:20.85,Default,,0000,0000,0000,,And we're done.