1
00:00:00,000 --> 00:00:00,630


2
00:00:00,630 --> 00:00:03,940
Add and simplify the answer and write as a mixed number.

3
00:00:03,940 --> 00:00:06,490
So we have two mixed numbers here.

4
00:00:06,490 --> 00:00:08,699
We have a whole number part and a fraction part.

5
00:00:08,699 --> 00:00:09,429
We need to add them.

6
00:00:09,429 --> 00:00:10,660
Now, there's two ways to do this.

7
00:00:10,660 --> 00:00:13,679
You could convert both of these into improper fractions,

8
00:00:13,679 --> 00:00:15,800
then add them, and then convert that back

9
00:00:15,800 --> 00:00:17,289
into a mixed number.

10
00:00:17,289 --> 00:00:19,719
Or you could just look at this and say, well, you know what?

11
00:00:19,719 --> 00:00:28,629
17 and 2/9 is the exact same thing as 17 plus 2/9, and then

12
00:00:28,629 --> 00:00:38,640
5 and 1/9 is the exact same thing as 5 plus 1/9, so 17 2/9

13
00:00:38,640 --> 00:00:41,549
plus 5 and 1/9 is the same thing as 17 plus

14
00:00:41,549 --> 00:00:45,259
2/9 plus 5 plus 1/9.

15
00:00:45,259 --> 00:00:47,799
These two statements are completely equivalent.

16
00:00:47,799 --> 00:00:50,509
And we know that when you're just adding a bunch of

17
00:00:50,509 --> 00:00:52,969
numbers, it doesn't matter what order you do it in, so

18
00:00:52,969 --> 00:00:54,039
you can swap the order.

19
00:00:54,039 --> 00:01:01,539
So you could say that this is the same thing as 17 plus 5

20
00:01:01,539 --> 00:01:05,739
plus 2/9 plus 1/9.

21
00:01:05,739 --> 00:01:08,839


22
00:01:08,840 --> 00:01:10,780
And we could do this in any order.

23
00:01:10,780 --> 00:01:13,030
And we know what 17 plus 5 is.

24
00:01:13,030 --> 00:01:14,760
We've done that before.

25
00:01:14,760 --> 00:01:20,010
17 plus 5 is 22, so that part right there is 22.

26
00:01:20,010 --> 00:01:27,469
So we have 22 plus-- now what is 2/9 plus 1/9?

27
00:01:27,469 --> 00:01:29,719
Well, they have the same denominator, so it's going to

28
00:01:29,719 --> 00:01:34,289
be over 9, and then you add the numerators.

29
00:01:34,290 --> 00:01:37,040
2 plus 1 is 3.

30
00:01:37,040 --> 00:01:40,540
So it's 22 plus 3/9, but this can be simplified.

31
00:01:40,540 --> 00:01:42,130
Both the numerator and the denominator are

32
00:01:42,129 --> 00:01:43,119
divisible by 3.

33
00:01:43,120 --> 00:01:45,079
Divide the numerator by 3, you get 1.

34
00:01:45,079 --> 00:01:47,569
Divide the denominator by 3, you get 3.

35
00:01:47,569 --> 00:01:55,799
So this is 22 plus 1/3, which is the exact same thing as 22

36
00:01:55,799 --> 00:01:59,920
and-- let me write it in that other blue color-- which is

37
00:01:59,920 --> 00:02:04,805
the exact same thing as 22 and 1/3.

38
00:02:04,805 --> 00:02:05,599