0:00:00.000,0:00:00.700


0:00:00.700,0:00:04.580
How many hours are[br]in 549 minutes?

0:00:04.580,0:00:07.120
And we can write it as[br]a decimal or a fraction.

0:00:07.120,0:00:09.860
So essentially, we're[br]going to take 549 minutes

0:00:09.860,0:00:12.210
and divide them[br]into groups of 60.

0:00:12.210,0:00:13.370
Why 60?

0:00:13.370,0:00:21.030
Because we know that one[br]hour is equal to 60 minutes.

0:00:21.030,0:00:24.020
So it's essentially saying, how[br]many groups of 60 minutes can

0:00:24.020,0:00:27.220
we divide 549 into.

0:00:27.220,0:00:28.780
Or another way of[br]thinking about that

0:00:28.780,0:00:34.590
is, well, what is 549[br]divided into groups of 60.

0:00:34.590,0:00:37.090
This is how many hours[br]we're going to have.

0:00:37.090,0:00:38.300
So let's do that.

0:00:38.300,0:00:46.290
Let's take 549 and[br]divide it by 60.

0:00:46.290,0:00:49.670
So let's see, 6 goes[br]into 54 9 times.

0:00:49.670,0:00:52.359
So 60 is going to[br]go into 540 9 times.

0:00:52.359,0:00:54.150
We're going to have a[br]little bit left over.

0:00:54.150,0:00:58.080
So we have 9 times 60 is 540.

0:00:58.080,0:00:59.270
We subtract.

0:00:59.270,0:01:00.695
We have 9 left over.

0:01:00.695,0:01:05.203


0:01:05.203,0:01:07.120
And now let's see, we[br]have a little left over,

0:01:07.120,0:01:08.453
so we're going to get a decimal.

0:01:08.453,0:01:11.060
So let's put a decimal[br]place right over here

0:01:11.060,0:01:13.580
and let's throw[br]some 0's over there.

0:01:13.580,0:01:15.220
Let's bring down a 0.

0:01:15.220,0:01:16.400
So we bring down a 0.

0:01:16.400,0:01:19.000
60 goes into 90 1 time.

0:01:19.000,0:01:21.390
1 times 60 is 60.

0:01:21.390,0:01:22.250
And we subtract.

0:01:22.250,0:01:23.510
We get 30.

0:01:23.510,0:01:26.130
Let's bring down another 0.

0:01:26.130,0:01:27.822
And so we get to 300.

0:01:27.822,0:01:30.690
60 goes into 300 5 times.

0:01:30.690,0:01:36.660
5 times 60, 6 times 6 is[br]30, so 5 times 60 is 300.

0:01:36.660,0:01:39.390
Subtract and we are done.

0:01:39.390,0:01:42.110
So you divide 549[br]into groups of 60.

0:01:42.110,0:01:45.960
You can divide it into[br]9.15 groups of 60 minutes.

0:01:45.960,0:01:47.720
A group of 60[br]minutes is an hour.

0:01:47.720,0:01:52.650
So this 549 minutes[br]is 9.15 hours.

0:01:52.650,0:01:58.340
I want to make sure that we[br]can visualize that properly.

0:01:58.340,0:02:04.490
So let's actually construct[br]what 9.15 hours looks like.

0:02:04.490,0:02:08.240
So let me draw a little[br]line here, and on the top

0:02:08.240,0:02:10.660
I'll label Hours, and on the[br]bottom I'll label Minutes.

0:02:10.660,0:02:13.820
So this is 0 hours, 0 minutes.

0:02:13.820,0:02:17.520
And now we have 1 hour,[br]which is 60 minutes.

0:02:17.520,0:02:21.860
Now we have 2 hours,[br]which is 120 minutes.

0:02:21.860,0:02:25.880
Then you have 3 hours,[br]which is 180 minutes.

0:02:25.880,0:02:31.170
Then you have 4 hours,[br]which is 240 minutes.

0:02:31.170,0:02:34.810
5 hours is 300 minutes.

0:02:34.810,0:02:39.770
6 hours is 360 minutes.

0:02:39.770,0:02:43.111
7 hours, I might be running out[br]of space, is for 420 minutes.

0:02:43.111,0:02:44.860
Let me copy and paste[br]this someplace where

0:02:44.860,0:02:46.900
I have more real estate.

0:02:46.900,0:02:49.580
So let me clear that.

0:02:49.580,0:02:51.090
And then let me[br]paste that someplace

0:02:51.090,0:02:54.400
where I don't run into[br]my other math that I did.

0:02:54.400,0:02:55.530
All right.

0:02:55.530,0:03:00.980
So then you have 8[br]hours is 480 minutes.

0:03:00.980,0:03:03.070
And then you have 9 hours.

0:03:03.070,0:03:05.570
Notice, I'm just adding[br]60 minutes every time.

0:03:05.570,0:03:08.099
9 hours is 540 minutes.

0:03:08.099,0:03:10.140
Or another way you could[br]think about it is, well,

0:03:10.140,0:03:13.700
if each hour is 60,[br]9 times 60 is 540.

0:03:13.700,0:03:15.710
And we don't want[br]to go to just 540.

0:03:15.710,0:03:17.260
We have another 9 left.

0:03:17.260,0:03:25.320
So then we have to go another[br]9 minutes to go to 549.

0:03:25.320,0:03:28.120
So you have 9 minutes left over.

0:03:28.120,0:03:34.550
So another way of thinking about[br]this, is that 549 is 9 hours.

0:03:34.550,0:03:37.450
And then you have 9[br]minutes left over.

0:03:37.450,0:03:41.160
And 9 minutes is what[br]fraction of an hour?

0:03:41.160,0:03:43.900
Well, 60 minutes[br]is a whole hour.

0:03:43.900,0:03:49.289
So 9 minutes is 9/60 of an hour.

0:03:49.289,0:03:50.580
So you could write it this way.

0:03:50.580,0:03:53.150
It's 9 and 9/60 hours.

0:03:53.150,0:03:55.720
Or we could write this as[br]an equivalent fraction.

0:03:55.720,0:03:58.200
9/60 is the same[br]thing if we divide

0:03:58.200,0:04:00.070
the numerator and[br]the denominator by 3,

0:04:00.070,0:04:02.060
is the same thing as 3/20.

0:04:02.060,0:04:05.230
So we could write[br]this as 9 and 3/20.

0:04:05.230,0:04:08.530


0:04:08.530,0:04:12.510
And 3/20, well we could figure[br]out what that is going to be.

0:04:12.510,0:04:15.292
Let's see, 20 divided by 3.

0:04:15.292,0:04:16.750
It's definitely[br]going to be smaller

0:04:16.750,0:04:19.390
than 1, because 3[br]is smaller than 20.

0:04:19.390,0:04:21.450
So let's throw some 0's on here.

0:04:21.450,0:04:26.300
20 doesn't go into 3, but[br]it does go into 30 1 time.

0:04:26.300,0:04:28.200
1 times 20 is 20.

0:04:28.200,0:04:30.620
Subtract, we get a 10.

0:04:30.620,0:04:31.650
Bring down a 0.

0:04:31.650,0:04:34.270
20 goes into 100 5 times.

0:04:34.270,0:04:36.650
5 times 20 is 100.

0:04:36.650,0:04:38.730
And we are done.

0:04:38.730,0:04:41.780
So notice, 3 over 20 is[br]the exact same thing.

0:04:41.780,0:04:49.840
So 9 and 3/20 is the exact[br]same thing as 9 and 15/100.

0:04:49.840,0:04:52.605
These are all[br]equivalent answers.

0:04:52.605,0:04:53.104