1
00:00:00,000 --> 00:00:00,700


2
00:00:00,700 --> 00:00:04,580
How many hours are
in 549 minutes?

3
00:00:04,580 --> 00:00:07,120
And we can write it as
a decimal or a fraction.

4
00:00:07,120 --> 00:00:09,860
So essentially, we're
going to take 549 minutes

5
00:00:09,860 --> 00:00:12,210
and divide them
into groups of 60.

6
00:00:12,210 --> 00:00:13,370
Why 60?

7
00:00:13,370 --> 00:00:21,030
Because we know that one
hour is equal to 60 minutes.

8
00:00:21,030 --> 00:00:24,020
So it's essentially saying, how
many groups of 60 minutes can

9
00:00:24,020 --> 00:00:27,220
we divide 549 into.

10
00:00:27,220 --> 00:00:28,780
Or another way of
thinking about that

11
00:00:28,780 --> 00:00:34,590
is, well, what is 549
divided into groups of 60.

12
00:00:34,590 --> 00:00:37,090
This is how many hours
we're going to have.

13
00:00:37,090 --> 00:00:38,300
So let's do that.

14
00:00:38,300 --> 00:00:46,290
Let's take 549 and
divide it by 60.

15
00:00:46,290 --> 00:00:49,670
So let's see, 6 goes
into 54 9 times.

16
00:00:49,670 --> 00:00:52,359
So 60 is going to
go into 540 9 times.

17
00:00:52,359 --> 00:00:54,150
We're going to have a
little bit left over.

18
00:00:54,150 --> 00:00:58,080
So we have 9 times 60 is 540.

19
00:00:58,080 --> 00:00:59,270
We subtract.

20
00:00:59,270 --> 00:01:00,695
We have 9 left over.

21
00:01:00,695 --> 00:01:05,203


22
00:01:05,203 --> 00:01:07,120
And now let's see, we
have a little left over,

23
00:01:07,120 --> 00:01:08,453
so we're going to get a decimal.

24
00:01:08,453 --> 00:01:11,060
So let's put a decimal
place right over here

25
00:01:11,060 --> 00:01:13,580
and let's throw
some 0's over there.

26
00:01:13,580 --> 00:01:15,220
Let's bring down a 0.

27
00:01:15,220 --> 00:01:16,400
So we bring down a 0.

28
00:01:16,400 --> 00:01:19,000
60 goes into 90 1 time.

29
00:01:19,000 --> 00:01:21,390
1 times 60 is 60.

30
00:01:21,390 --> 00:01:22,250
And we subtract.

31
00:01:22,250 --> 00:01:23,510
We get 30.

32
00:01:23,510 --> 00:01:26,130
Let's bring down another 0.

33
00:01:26,130 --> 00:01:27,822
And so we get to 300.

34
00:01:27,822 --> 00:01:30,690
60 goes into 300 5 times.

35
00:01:30,690 --> 00:01:36,660
5 times 60, 6 times 6 is
30, so 5 times 60 is 300.

36
00:01:36,660 --> 00:01:39,390
Subtract and we are done.

37
00:01:39,390 --> 00:01:42,110
So you divide 549
into groups of 60.

38
00:01:42,110 --> 00:01:45,960
You can divide it into
9.15 groups of 60 minutes.

39
00:01:45,960 --> 00:01:47,720
A group of 60
minutes is an hour.

40
00:01:47,720 --> 00:01:52,650
So this 549 minutes
is 9.15 hours.

41
00:01:52,650 --> 00:01:58,340
I want to make sure that we
can visualize that properly.

42
00:01:58,340 --> 00:02:04,490
So let's actually construct
what 9.15 hours looks like.

43
00:02:04,490 --> 00:02:08,240
So let me draw a little
line here, and on the top

44
00:02:08,240 --> 00:02:10,660
I'll label Hours, and on the
bottom I'll label Minutes.

45
00:02:10,660 --> 00:02:13,820
So this is 0 hours, 0 minutes.

46
00:02:13,820 --> 00:02:17,520
And now we have 1 hour,
which is 60 minutes.

47
00:02:17,520 --> 00:02:21,860
Now we have 2 hours,
which is 120 minutes.

48
00:02:21,860 --> 00:02:25,880
Then you have 3 hours,
which is 180 minutes.

49
00:02:25,880 --> 00:02:31,170
Then you have 4 hours,
which is 240 minutes.

50
00:02:31,170 --> 00:02:34,810
5 hours is 300 minutes.

51
00:02:34,810 --> 00:02:39,770
6 hours is 360 minutes.

52
00:02:39,770 --> 00:02:43,111
7 hours, I might be running out
of space, is for 420 minutes.

53
00:02:43,111 --> 00:02:44,860
Let me copy and paste
this someplace where

54
00:02:44,860 --> 00:02:46,900
I have more real estate.

55
00:02:46,900 --> 00:02:49,580
So let me clear that.

56
00:02:49,580 --> 00:02:51,090
And then let me
paste that someplace

57
00:02:51,090 --> 00:02:54,400
where I don't run into
my other math that I did.

58
00:02:54,400 --> 00:02:55,530
All right.

59
00:02:55,530 --> 00:03:00,980
So then you have 8
hours is 480 minutes.

60
00:03:00,980 --> 00:03:03,070
And then you have 9 hours.

61
00:03:03,070 --> 00:03:05,570
Notice, I'm just adding
60 minutes every time.

62
00:03:05,570 --> 00:03:08,099
9 hours is 540 minutes.

63
00:03:08,099 --> 00:03:10,140
Or another way you could
think about it is, well,

64
00:03:10,140 --> 00:03:13,700
if each hour is 60,
9 times 60 is 540.

65
00:03:13,700 --> 00:03:15,710
And we don't want
to go to just 540.

66
00:03:15,710 --> 00:03:17,260
We have another 9 left.

67
00:03:17,260 --> 00:03:25,320
So then we have to go another
9 minutes to go to 549.

68
00:03:25,320 --> 00:03:28,120
So you have 9 minutes left over.

69
00:03:28,120 --> 00:03:34,550
So another way of thinking about
this, is that 549 is 9 hours.

70
00:03:34,550 --> 00:03:37,450
And then you have 9
minutes left over.

71
00:03:37,450 --> 00:03:41,160
And 9 minutes is what
fraction of an hour?

72
00:03:41,160 --> 00:03:43,900
Well, 60 minutes
is a whole hour.

73
00:03:43,900 --> 00:03:49,289
So 9 minutes is 9/60 of an hour.

74
00:03:49,289 --> 00:03:50,580
So you could write it this way.

75
00:03:50,580 --> 00:03:53,150
It's 9 and 9/60 hours.

76
00:03:53,150 --> 00:03:55,720
Or we could write this as
an equivalent fraction.

77
00:03:55,720 --> 00:03:58,200
9/60 is the same
thing if we divide

78
00:03:58,200 --> 00:04:00,070
the numerator and
the denominator by 3,

79
00:04:00,070 --> 00:04:02,060
is the same thing as 3/20.

80
00:04:02,060 --> 00:04:05,230
So we could write
this as 9 and 3/20.

81
00:04:05,230 --> 00:04:08,530


82
00:04:08,530 --> 00:04:12,510
And 3/20, well we could figure
out what that is going to be.

83
00:04:12,510 --> 00:04:15,292
Let's see, 20 divided by 3.

84
00:04:15,292 --> 00:04:16,750
It's definitely
going to be smaller

85
00:04:16,750 --> 00:04:19,390
than 1, because 3
is smaller than 20.

86
00:04:19,390 --> 00:04:21,450
So let's throw some 0's on here.

87
00:04:21,450 --> 00:04:26,300
20 doesn't go into 3, but
it does go into 30 1 time.

88
00:04:26,300 --> 00:04:28,200
1 times 20 is 20.

89
00:04:28,200 --> 00:04:30,620
Subtract, we get a 10.

90
00:04:30,620 --> 00:04:31,650
Bring down a 0.

91
00:04:31,650 --> 00:04:34,270
20 goes into 100 5 times.

92
00:04:34,270 --> 00:04:36,650
5 times 20 is 100.

93
00:04:36,650 --> 00:04:38,730
And we are done.

94
00:04:38,730 --> 00:04:41,780
So notice, 3 over 20 is
the exact same thing.

95
00:04:41,780 --> 00:04:49,840
So 9 and 3/20 is the exact
same thing as 9 and 15/100.

96
00:04:49,840 --> 00:04:52,605
These are all
equivalent answers.

97
00:04:52,605 --> 00:04:53,104