[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:01.12,0:00:05.04,Default,,0000,0000,0000,,Regina rode her bike 2 and 1/4\Nmiles from her house to school
Dialogue: 0,0:00:05.04,0:00:08.60,Default,,0000,0000,0000,,and then 1 and 5/8 miles\Nto her friend's house.
Dialogue: 0,0:00:08.60,0:00:11.45,Default,,0000,0000,0000,,How many miles did Regina\Nride in total?
Dialogue: 0,0:00:11.45,0:00:17.39,Default,,0000,0000,0000,,So she first rode 2 and 1/4\Nmiles, and then she
Dialogue: 0,0:00:17.39,0:00:20.45,Default,,0000,0000,0000,,rode 1 and 5/8 miles.
Dialogue: 0,0:00:20.45,0:00:23.07,Default,,0000,0000,0000,,then she rode 1 and 5/8 miles
Dialogue: 0,0:00:23.07,0:00:27.77,Default,,0000,0000,0000,,So the sum is the total number\Nof miles she rode.
Dialogue: 0,0:00:27.77,0:00:30.97,Default,,0000,0000,0000,,So to take this sum, we've seen\Nthat we can add the whole
Dialogue: 0,0:00:30.97,0:00:33.04,Default,,0000,0000,0000,,number parts, because this is\Nreally the same thing as 2
Dialogue: 0,0:00:33.04,0:00:37.55,Default,,0000,0000,0000,,plus 1/4 plus 1 plus 5/8, so we\Ncan just switch the order,
Dialogue: 0,0:00:37.55,0:00:39.15,Default,,0000,0000,0000,,if you want to view\Nit that way.
Dialogue: 0,0:00:39.15,0:00:42.57,Default,,0000,0000,0000,,So we can add the 2 plus the 1\Nfirst, and then we get-- let
Dialogue: 0,0:00:42.57,0:00:43.49,Default,,0000,0000,0000,,me do that here.
Dialogue: 0,0:00:43.49,0:00:46.85,Default,,0000,0000,0000,,So 2 plus the 1, you get 3, and\Nthen we need to add the
Dialogue: 0,0:00:46.85,0:00:48.70,Default,,0000,0000,0000,,1/4 plus 5/8.
Dialogue: 0,0:00:48.70,0:00:57.19,Default,,0000,0000,0000,,And to add these two fractions,\Nwe have to find the
Dialogue: 0,0:00:57.19,0:00:59.97,Default,,0000,0000,0000,,least common multiple\Nof 4 and 8.
Dialogue: 0,0:00:59.97,0:01:01.66,Default,,0000,0000,0000,,That'll be our new\Ndenominator.
Dialogue: 0,0:01:01.66,0:01:10.89,Default,,0000,0000,0000,,8 is divisible by both 8 and 4,\Nso that is the least common
Dialogue: 0,0:01:10.89,0:01:19.04,Default,,0000,0000,0000,,multiple of 4 and 8, so our\Ncommon denominator will be 8.
Dialogue: 0,0:01:19.04,0:01:21.37,Default,,0000,0000,0000,,Obviously, 5/8 will\Nstill be 5/8.
Dialogue: 0,0:01:21.37,0:01:24.15,Default,,0000,0000,0000,,Now to go from a denominator\Nof 4 to 8, you have to
Dialogue: 0,0:01:24.15,0:01:26.57,Default,,0000,0000,0000,,multiply the denominator by 2,\Nso we also need to multiply
Dialogue: 0,0:01:26.57,0:01:30.49,Default,,0000,0000,0000,,the numerator by 2,\Nso 1 times 2 is 2.
Dialogue: 0,0:01:30.49,0:01:32.87,Default,,0000,0000,0000,,And, of course, we still\Nhave this 3 out there.
Dialogue: 0,0:01:32.87,0:01:36.79,Default,,0000,0000,0000,,So 2 and 1/4 plus 1 and 5/8 is\Nthe same thing as this right
Dialogue: 0,0:01:36.79,0:01:41.74,Default,,0000,0000,0000,,here, and this is equal to-- we\Nhave our 3 plus, and then
Dialogue: 0,0:01:41.74,0:01:50.22,Default,,0000,0000,0000,,over 8 we add the 2 plus 5.
Dialogue: 0,0:01:50.22,0:01:51.59,Default,,0000,0000,0000,,We have 7/8.
Dialogue: 0,0:01:51.59,0:01:55.19,Default,,0000,0000,0000,,So this is going to be equal\Nto 3 and 7/8 miles.
Dialogue: 0,0:01:55.19,0:01:58.36,Default,,0000,0000,0000,,She rode a total of\N3 and 7/8 miles.
Dialogue: 0,0:01:58.36,0:02:00.51,Default,,0000,0000,0000,,Now, I want to make one\Nthing very clear.
Dialogue: 0,0:02:00.51,0:02:02.76,Default,,0000,0000,0000,,So far when we've been adding\Nthese mixed numbers, the
Dialogue: 0,0:02:02.76,0:02:05.60,Default,,0000,0000,0000,,fraction part always ended\Nup as a proper fraction.
Dialogue: 0,0:02:05.60,0:02:07.74,Default,,0000,0000,0000,,The numerator was smaller\Nthan the denominator.
Dialogue: 0,0:02:07.74,0:02:09.66,Default,,0000,0000,0000,,But I want to do a quick example\Nto show you what you
Dialogue: 0,0:02:09.66,0:02:13.22,Default,,0000,0000,0000,,do when the numerator is not\Nsmaller than the denominator.
Dialogue: 0,0:02:13.22,0:02:24.60,Default,,0000,0000,0000,,So let's say we had 1 and\N5/8 plus 2 and 4/8.
Dialogue: 0,0:02:24.60,0:02:27.29,Default,,0000,0000,0000,,So if you add just the\Nwhole number parts, 1
Dialogue: 0,0:02:27.29,0:02:28.77,Default,,0000,0000,0000,,plus 2, you get 3.
Dialogue: 0,0:02:28.77,0:02:35.87,Default,,0000,0000,0000,,Plus 5/8 plus 4/8, 5/8\Nplus 4/8 is 9/8, so
Dialogue: 0,0:02:35.87,0:02:38.42,Default,,0000,0000,0000,,you get 3 plus 9/8.
Dialogue: 0,0:02:38.42,0:02:40.56,Default,,0000,0000,0000,,Now it would be really strange\Nto just say, OK, that's the
Dialogue: 0,0:02:40.56,0:02:43.27,Default,,0000,0000,0000,,same thing as 3 and 9/8, because\Nyou have a mixed
Dialogue: 0,0:02:43.27,0:02:45.86,Default,,0000,0000,0000,,number with a whole number\Nand an improper fraction.
Dialogue: 0,0:02:45.86,0:02:47.52,Default,,0000,0000,0000,,If you're going through the\Ntrouble of making it a mixed
Dialogue: 0,0:02:47.52,0:02:50.60,Default,,0000,0000,0000,,number, the fraction better\Nbe a proper fraction.
Dialogue: 0,0:02:50.60,0:02:53.24,Default,,0000,0000,0000,,So what you need to do is\Nrewrite 9/8, and you know that
Dialogue: 0,0:02:53.24,0:02:59.52,Default,,0000,0000,0000,,9/8 is the same thing\Nas 1 and 1/8, right?
Dialogue: 0,0:02:59.52,0:03:04.62,Default,,0000,0000,0000,,8 goes into 9 one time with 1\Nleft over, so it's 1 and 1/8.
Dialogue: 0,0:03:04.62,0:03:08.64,Default,,0000,0000,0000,,So this is the same thing\Nas 3 plus 1 and 1/8.
Dialogue: 0,0:03:08.64,0:03:10.44,Default,,0000,0000,0000,,So now we can add the\Nwhole number parts.
Dialogue: 0,0:03:10.44,0:03:14.42,Default,,0000,0000,0000,,3 plus 1 is equal to 4, and then\Nyou have your 1/8 over
Dialogue: 0,0:03:14.42,0:03:16.55,Default,,0000,0000,0000,,there: 4 and 1/8.
Dialogue: 0,0:03:16.55,0:03:18.80,Default,,0000,0000,0000,,I just wanted to give you that\Nspecial circumstance when your
Dialogue: 0,0:03:18.80,9:59:59.99,Default,,0000,0000,0000,,fraction part ends\Nup improper.