0:00:00.000,0:00:00.630


0:00:00.630,0:00:03.940
Add and simplify the answer and[br]write as a mixed number.

0:00:03.940,0:00:06.490
So we have two mixed[br]numbers here.

0:00:06.490,0:00:08.700
We have a whole number part[br]and a fraction part.

0:00:08.700,0:00:09.430
We need to add them.

0:00:09.430,0:00:10.660
Now, there's two ways[br]to do this.

0:00:10.660,0:00:13.680
You could convert both of these[br]into improper fractions,

0:00:13.680,0:00:15.800
then add them, and then[br]convert that back

0:00:15.800,0:00:17.290
into a mixed number.

0:00:17.290,0:00:19.720
Or you could just look at this[br]and say, well, you know what?

0:00:19.720,0:00:28.630
17 and 2/9 is the exact same[br]thing as 17 plus 2/9, and then

0:00:28.630,0:00:38.640
5 and 1/9 is the exact same[br]thing as 5 plus 1/9, so 17 and 2/9

0:00:38.640,0:00:41.550
plus 5 and 1/9 is the same[br]thing as 17 plus

0:00:41.550,0:00:45.260
2/9 plus 5 plus 1/9.

0:00:45.260,0:00:47.800
These two statements are[br]completely equivalent.

0:00:47.800,0:00:50.510
And we know that when you're[br]just adding a bunch of

0:00:50.510,0:00:52.970
numbers, it doesn't matter what[br]order you do it in, so

0:00:52.970,0:00:54.040
you can swap the order.

0:00:54.040,0:01:01.540
So you could say that this is[br]the same thing as 17 plus 5

0:01:01.540,0:01:05.740
plus 2/9 plus 1/9.

0:01:05.740,0:01:08.840


0:01:08.840,0:01:10.780
And we could do this[br]in any order.

0:01:10.780,0:01:13.030
And we know what 17 plus 5 is.

0:01:13.030,0:01:14.760
We've done that before.

0:01:14.760,0:01:20.010
17 plus 5 is 22, so that[br]part right there is 22.

0:01:20.010,0:01:27.470
So we have 22 plus-- now[br]what is 2/9 plus 1/9?

0:01:27.470,0:01:29.720
Well, they have the same[br]denominator, so it's going to

0:01:29.720,0:01:34.290
be over 9, and then you[br]add the numerators.

0:01:34.290,0:01:37.040
2 plus 1 is 3.

0:01:37.040,0:01:40.540
So it's 22 plus 3/9, but[br]this can be simplified.

0:01:40.540,0:01:42.130
Both the numerator and[br]the denominator are

0:01:42.130,0:01:43.120
divisible by 3.

0:01:43.120,0:01:45.080
Divide the numerator[br]by 3, you get 1.

0:01:45.080,0:01:47.570
Divide the denominator[br]by 3, you get 3.

0:01:47.570,0:01:55.800
So this is 22 plus 1/3, which is[br]the exact same thing as 22

0:01:55.800,0:01:59.920
and-- let me write it in that[br]other blue color-- which is

0:01:59.920,0:02:04.805
the exact same thing[br]as 22 and 1/3.

0:02:04.805,0:02:05.599