[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.00,0:00:00.70,Default,,0000,0000,0000,,
Dialogue: 0,0:00:00.70,0:00:04.58,Default,,0000,0000,0000,,How many hours are\Nin 549 minutes?
Dialogue: 0,0:00:04.58,0:00:07.12,Default,,0000,0000,0000,,And we can write it as\Na decimal or a fraction.
Dialogue: 0,0:00:07.12,0:00:09.86,Default,,0000,0000,0000,,So essentially, we're\Ngoing to take 549 minutes
Dialogue: 0,0:00:09.86,0:00:12.21,Default,,0000,0000,0000,,and divide them\Ninto groups of 60.
Dialogue: 0,0:00:12.21,0:00:13.37,Default,,0000,0000,0000,,Why 60?
Dialogue: 0,0:00:13.37,0:00:21.03,Default,,0000,0000,0000,,Because we know that one\Nhour is equal to 60 minutes.
Dialogue: 0,0:00:21.03,0:00:24.02,Default,,0000,0000,0000,,So it's essentially saying, how\Nmany groups of 60 minutes can
Dialogue: 0,0:00:24.02,0:00:27.22,Default,,0000,0000,0000,,we divide 549 into.
Dialogue: 0,0:00:27.22,0:00:28.78,Default,,0000,0000,0000,,Or another way of\Nthinking about that
Dialogue: 0,0:00:28.78,0:00:34.59,Default,,0000,0000,0000,,is, well, what is 549\Ndivided into groups of 60.
Dialogue: 0,0:00:34.59,0:00:37.09,Default,,0000,0000,0000,,This is how many hours\Nwe're going to have.
Dialogue: 0,0:00:37.09,0:00:38.30,Default,,0000,0000,0000,,So let's do that.
Dialogue: 0,0:00:38.30,0:00:46.29,Default,,0000,0000,0000,,Let's take 549 and\Ndivide it by 60.
Dialogue: 0,0:00:46.29,0:00:49.67,Default,,0000,0000,0000,,So let's see, 6 goes\Ninto 54 9 times.
Dialogue: 0,0:00:49.67,0:00:52.36,Default,,0000,0000,0000,,So 60 is going to\Ngo into 540 9 times.
Dialogue: 0,0:00:52.36,0:00:54.15,Default,,0000,0000,0000,,We're going to have a\Nlittle bit left over.
Dialogue: 0,0:00:54.15,0:00:58.08,Default,,0000,0000,0000,,So we have 9 times 60 is 540.
Dialogue: 0,0:00:58.08,0:00:59.27,Default,,0000,0000,0000,,We subtract.
Dialogue: 0,0:00:59.27,0:01:00.70,Default,,0000,0000,0000,,We have 9 left over.
Dialogue: 0,0:01:00.70,0:01:05.20,Default,,0000,0000,0000,,
Dialogue: 0,0:01:05.20,0:01:07.12,Default,,0000,0000,0000,,And now let's see, we\Nhave a little left over,
Dialogue: 0,0:01:07.12,0:01:08.45,Default,,0000,0000,0000,,so we're going to get a decimal.
Dialogue: 0,0:01:08.45,0:01:11.06,Default,,0000,0000,0000,,So let's put a decimal\Nplace right over here
Dialogue: 0,0:01:11.06,0:01:13.58,Default,,0000,0000,0000,,and let's throw\Nsome 0's over there.
Dialogue: 0,0:01:13.58,0:01:15.22,Default,,0000,0000,0000,,Let's bring down a 0.
Dialogue: 0,0:01:15.22,0:01:16.40,Default,,0000,0000,0000,,So we bring down a 0.
Dialogue: 0,0:01:16.40,0:01:19.00,Default,,0000,0000,0000,,60 goes into 90 1 time.
Dialogue: 0,0:01:19.00,0:01:21.39,Default,,0000,0000,0000,,1 times 60 is 60.
Dialogue: 0,0:01:21.39,0:01:22.25,Default,,0000,0000,0000,,And we subtract.
Dialogue: 0,0:01:22.25,0:01:23.51,Default,,0000,0000,0000,,We get 30.
Dialogue: 0,0:01:23.51,0:01:26.13,Default,,0000,0000,0000,,Let's bring down another 0.
Dialogue: 0,0:01:26.13,0:01:27.82,Default,,0000,0000,0000,,And so we get to 300.
Dialogue: 0,0:01:27.82,0:01:30.69,Default,,0000,0000,0000,,60 goes into 300 5 times.
Dialogue: 0,0:01:30.69,0:01:36.66,Default,,0000,0000,0000,,5 times 60, 6 times 6 is\N30, so 5 times 60 is 300.
Dialogue: 0,0:01:36.66,0:01:39.39,Default,,0000,0000,0000,,Subtract and we are done.
Dialogue: 0,0:01:39.39,0:01:42.11,Default,,0000,0000,0000,,So you divide 549\Ninto groups of 60.
Dialogue: 0,0:01:42.11,0:01:45.96,Default,,0000,0000,0000,,You can divide it into\N9.15 groups of 60 minutes.
Dialogue: 0,0:01:45.96,0:01:47.72,Default,,0000,0000,0000,,A group of 60\Nminutes is an hour.
Dialogue: 0,0:01:47.72,0:01:52.65,Default,,0000,0000,0000,,So this 549 minutes\Nis 9.15 hours.
Dialogue: 0,0:01:52.65,0:01:58.34,Default,,0000,0000,0000,,I want to make sure that we\Ncan visualize that properly.
Dialogue: 0,0:01:58.34,0:02:04.49,Default,,0000,0000,0000,,So let's actually construct\Nwhat 9.15 hours looks like.
Dialogue: 0,0:02:04.49,0:02:08.24,Default,,0000,0000,0000,,So let me draw a little\Nline here, and on the top
Dialogue: 0,0:02:08.24,0:02:10.66,Default,,0000,0000,0000,,I'll label Hours, and on the\Nbottom I'll label Minutes.
Dialogue: 0,0:02:10.66,0:02:13.82,Default,,0000,0000,0000,,So this is 0 hours, 0 minutes.
Dialogue: 0,0:02:13.82,0:02:17.52,Default,,0000,0000,0000,,And now we have 1 hour,\Nwhich is 60 minutes.
Dialogue: 0,0:02:17.52,0:02:21.86,Default,,0000,0000,0000,,Now we have 2 hours,\Nwhich is 120 minutes.
Dialogue: 0,0:02:21.86,0:02:25.88,Default,,0000,0000,0000,,Then you have 3 hours,\Nwhich is 180 minutes.
Dialogue: 0,0:02:25.88,0:02:31.17,Default,,0000,0000,0000,,Then you have 4 hours,\Nwhich is 240 minutes.
Dialogue: 0,0:02:31.17,0:02:34.81,Default,,0000,0000,0000,,5 hours is 300 minutes.
Dialogue: 0,0:02:34.81,0:02:39.77,Default,,0000,0000,0000,,6 hours is 360 minutes.
Dialogue: 0,0:02:39.77,0:02:43.11,Default,,0000,0000,0000,,7 hours, I might be running out\Nof space, is for 420 minutes.
Dialogue: 0,0:02:43.11,0:02:44.86,Default,,0000,0000,0000,,Let me copy and paste\Nthis someplace where
Dialogue: 0,0:02:44.86,0:02:46.90,Default,,0000,0000,0000,,I have more real estate.
Dialogue: 0,0:02:46.90,0:02:49.58,Default,,0000,0000,0000,,So let me clear that.
Dialogue: 0,0:02:49.58,0:02:51.09,Default,,0000,0000,0000,,And then let me\Npaste that someplace
Dialogue: 0,0:02:51.09,0:02:54.40,Default,,0000,0000,0000,,where I don't run into\Nmy other math that I did.
Dialogue: 0,0:02:54.40,0:02:55.53,Default,,0000,0000,0000,,All right.
Dialogue: 0,0:02:55.53,0:03:00.98,Default,,0000,0000,0000,,So then you have 8\Nhours is 480 minutes.
Dialogue: 0,0:03:00.98,0:03:03.07,Default,,0000,0000,0000,,And then you have 9 hours.
Dialogue: 0,0:03:03.07,0:03:05.57,Default,,0000,0000,0000,,Notice, I'm just adding\N60 minutes every time.
Dialogue: 0,0:03:05.57,0:03:08.10,Default,,0000,0000,0000,,9 hours is 540 minutes.
Dialogue: 0,0:03:08.10,0:03:10.14,Default,,0000,0000,0000,,Or another way you could\Nthink about it is, well,
Dialogue: 0,0:03:10.14,0:03:13.70,Default,,0000,0000,0000,,if each hour is 60,\N9 times 60 is 540.
Dialogue: 0,0:03:13.70,0:03:15.71,Default,,0000,0000,0000,,And we don't want\Nto go to just 540.
Dialogue: 0,0:03:15.71,0:03:17.26,Default,,0000,0000,0000,,We have another 9 left.
Dialogue: 0,0:03:17.26,0:03:25.32,Default,,0000,0000,0000,,So then we have to go another\N9 minutes to go to 549.
Dialogue: 0,0:03:25.32,0:03:28.12,Default,,0000,0000,0000,,So you have 9 minutes left over.
Dialogue: 0,0:03:28.12,0:03:34.55,Default,,0000,0000,0000,,So another way of thinking about\Nthis, is that 549 is 9 hours.
Dialogue: 0,0:03:34.55,0:03:37.45,Default,,0000,0000,0000,,And then you have 9\Nminutes left over.
Dialogue: 0,0:03:37.45,0:03:41.16,Default,,0000,0000,0000,,And 9 minutes is what\Nfraction of an hour?
Dialogue: 0,0:03:41.16,0:03:43.90,Default,,0000,0000,0000,,Well, 60 minutes\Nis a whole hour.
Dialogue: 0,0:03:43.90,0:03:49.29,Default,,0000,0000,0000,,So 9 minutes is 9/60 of an hour.
Dialogue: 0,0:03:49.29,0:03:50.58,Default,,0000,0000,0000,,So you could write it this way.
Dialogue: 0,0:03:50.58,0:03:53.15,Default,,0000,0000,0000,,It's 9 and 9/60 hours.
Dialogue: 0,0:03:53.15,0:03:55.72,Default,,0000,0000,0000,,Or we could write this as\Nan equivalent fraction.
Dialogue: 0,0:03:55.72,0:03:58.20,Default,,0000,0000,0000,,9/60 is the same\Nthing if we divide
Dialogue: 0,0:03:58.20,0:04:00.07,Default,,0000,0000,0000,,the numerator and\Nthe denominator by 3,
Dialogue: 0,0:04:00.07,0:04:02.06,Default,,0000,0000,0000,,is the same thing as 3/20.
Dialogue: 0,0:04:02.06,0:04:05.23,Default,,0000,0000,0000,,So we could write\Nthis as 9 and 3/20.
Dialogue: 0,0:04:05.23,0:04:08.53,Default,,0000,0000,0000,,
Dialogue: 0,0:04:08.53,0:04:12.51,Default,,0000,0000,0000,,And 3/20, well we could figure\Nout what that is going to be.
Dialogue: 0,0:04:12.51,0:04:15.29,Default,,0000,0000,0000,,Let's see, 20 divided by 3.
Dialogue: 0,0:04:15.29,0:04:16.75,Default,,0000,0000,0000,,It's definitely\Ngoing to be smaller
Dialogue: 0,0:04:16.75,0:04:19.39,Default,,0000,0000,0000,,than 1, because 3\Nis smaller than 20.
Dialogue: 0,0:04:19.39,0:04:21.45,Default,,0000,0000,0000,,So let's throw some 0's on here.
Dialogue: 0,0:04:21.45,0:04:26.30,Default,,0000,0000,0000,,20 doesn't go into 3, but\Nit does go into 30 1 time.
Dialogue: 0,0:04:26.30,0:04:28.20,Default,,0000,0000,0000,,1 times 20 is 20.
Dialogue: 0,0:04:28.20,0:04:30.62,Default,,0000,0000,0000,,Subtract, we get a 10.
Dialogue: 0,0:04:30.62,0:04:31.65,Default,,0000,0000,0000,,Bring down a 0.
Dialogue: 0,0:04:31.65,0:04:34.27,Default,,0000,0000,0000,,20 goes into 100 5 times.
Dialogue: 0,0:04:34.27,0:04:36.65,Default,,0000,0000,0000,,5 times 20 is 100.
Dialogue: 0,0:04:36.65,0:04:38.73,Default,,0000,0000,0000,,And we are done.
Dialogue: 0,0:04:38.73,0:04:41.78,Default,,0000,0000,0000,,So notice, 3 over 20 is\Nthe exact same thing.
Dialogue: 0,0:04:41.78,0:04:49.84,Default,,0000,0000,0000,,So 9 and 3/20 is the exact\Nsame thing as 9 and 15/100.
Dialogue: 0,0:04:49.84,0:04:52.60,Default,,0000,0000,0000,,These are all\Nequivalent answers.
Dialogue: 0,0:04:52.60,0:04:53.10,Default,,0000,0000,0000,,