[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.50,0:00:06.04,Default,,0000,0000,0000,,Let's see if we can\Nwrite 0.15 as a fraction.
Dialogue: 0,0:00:06.04,0:00:07.90,Default,,0000,0000,0000,,So the important\Nthing here is to look
Dialogue: 0,0:00:07.90,0:00:10.55,Default,,0000,0000,0000,,at what place these\Ndigits are in.
Dialogue: 0,0:00:10.55,0:00:13.37,Default,,0000,0000,0000,,So this 1 right over here,\Nthis is in the tenths place,
Dialogue: 0,0:00:13.37,0:00:16.55,Default,,0000,0000,0000,,so you could view\Nthat as 1 times 1/10.
Dialogue: 0,0:00:16.55,0:00:20.59,Default,,0000,0000,0000,,This 5 right over here is\Nin the hundredths place,
Dialogue: 0,0:00:20.59,0:00:23.70,Default,,0000,0000,0000,,so you could view\Nthat as 5 times 1/100.
Dialogue: 0,0:00:23.70,0:00:26.32,Default,,0000,0000,0000,,So if I were to rewrite\Nthis, I can rewrite this
Dialogue: 0,0:00:26.32,0:00:30.08,Default,,0000,0000,0000,,as the sum of-- this 1\Nrepresents 1 times 1/10,
Dialogue: 0,0:00:30.08,0:00:33.48,Default,,0000,0000,0000,,so that would literally\Nbe 1/10 plus--
Dialogue: 0,0:00:33.48,0:00:36.86,Default,,0000,0000,0000,,and this 5 represents\N5 times 1/100,
Dialogue: 0,0:00:36.86,0:00:40.38,Default,,0000,0000,0000,,so it would be plus 5/100.
Dialogue: 0,0:00:40.38,0:00:41.91,Default,,0000,0000,0000,,And if we want to\Nadd them up, we
Dialogue: 0,0:00:41.91,0:00:43.87,Default,,0000,0000,0000,,want to find a\Ncommon denominator.
Dialogue: 0,0:00:43.87,0:00:45.89,Default,,0000,0000,0000,,The common denominator is 100.
Dialogue: 0,0:00:45.89,0:00:49.48,Default,,0000,0000,0000,,Both 10 and-- the\Nleast common multiple.
Dialogue: 0,0:00:49.48,0:00:52.72,Default,,0000,0000,0000,,100 is a multiple\Nof both 10 and 100.
Dialogue: 0,0:00:52.72,0:00:55.73,Default,,0000,0000,0000,,So we can rewrite this\Nas something over 100
Dialogue: 0,0:00:55.73,0:00:59.52,Default,,0000,0000,0000,,plus something over 100.
Dialogue: 0,0:00:59.52,0:01:00.64,Default,,0000,0000,0000,,This isn't going to change.
Dialogue: 0,0:01:00.64,0:01:02.75,Default,,0000,0000,0000,,This was already 5/100.
Dialogue: 0,0:01:02.75,0:01:04.65,Default,,0000,0000,0000,,If we multiply the\Ndenominator here
Dialogue: 0,0:01:04.65,0:01:07.89,Default,,0000,0000,0000,,by 10-- that's what we did;\Nwe multiplied it by 10--
Dialogue: 0,0:01:07.89,0:01:10.31,Default,,0000,0000,0000,,then we're going to have to\Nmultiply this numerator by 10.
Dialogue: 0,0:01:10.31,0:01:12.69,Default,,0000,0000,0000,,And so this is the\Nsame thing as 10/100.
Dialogue: 0,0:01:12.69,0:01:13.81,Default,,0000,0000,0000,,And now we're ready to add.
Dialogue: 0,0:01:13.81,0:01:20.66,Default,,0000,0000,0000,,This is the same thing\Nas-- 10 plus 5 is 15/100.
Dialogue: 0,0:01:20.66,0:01:23.01,Default,,0000,0000,0000,,And you could have done that\Na little bit quicker just
Dialogue: 0,0:01:23.01,0:01:23.86,Default,,0000,0000,0000,,by inspecting this.
Dialogue: 0,0:01:23.86,0:01:26.11,Default,,0000,0000,0000,,You would say, look, my\Nsmallest place right over here
Dialogue: 0,0:01:26.11,0:01:27.26,Default,,0000,0000,0000,,is in the hundredths place.
Dialogue: 0,0:01:27.26,0:01:29.59,Default,,0000,0000,0000,,Instead of calling this\N1/10, I could call this
Dialogue: 0,0:01:29.59,0:01:30.86,Default,,0000,0000,0000,,literally 10/100.
Dialogue: 0,0:01:30.86,0:01:35.71,Default,,0000,0000,0000,,Or I could say this\Nwhole thing is 15/100.
Dialogue: 0,0:01:35.71,0:01:37.91,Default,,0000,0000,0000,,And now if I want to reduce\Nthis to lowest terms,
Dialogue: 0,0:01:37.91,0:01:40.33,Default,,0000,0000,0000,,we can-- let's see, both the\Nnumerator and the denominator
Dialogue: 0,0:01:40.33,0:01:42.03,Default,,0000,0000,0000,,are divisible by 5.
Dialogue: 0,0:01:42.03,0:01:44.59,Default,,0000,0000,0000,,So let's divide them both by 5.
Dialogue: 0,0:01:44.59,0:01:48.41,Default,,0000,0000,0000,,And so the numerator,\N15 divided by 5, is 3.
Dialogue: 0,0:01:48.41,0:01:51.80,Default,,0000,0000,0000,,The denominator, 100\Ndivided by 5, is 20.
Dialogue: 0,0:01:51.80,0:01:55.89,Default,,0000,0000,0000,,And that's about as\Nsimplified as we can get.