[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.33,0:00:01.32,Default,,0000,0000,0000,,- [Instructor] Let's\Nsay we wanna figure out
Dialogue: 0,0:00:01.32,0:00:04.06,Default,,0000,0000,0000,,what eight divided by 4/10 is.
Dialogue: 0,0:00:04.06,0:00:06.25,Default,,0000,0000,0000,,Pause this video and try to\Nfigure it out on your own
Dialogue: 0,0:00:06.25,0:00:08.24,Default,,0000,0000,0000,,before we do it together.
Dialogue: 0,0:00:08.24,0:00:11.15,Default,,0000,0000,0000,,All right, now one way to approach this is
Dialogue: 0,0:00:11.15,0:00:13.28,Default,,0000,0000,0000,,to think about everything\Nin terms of tenths.
Dialogue: 0,0:00:13.28,0:00:15.04,Default,,0000,0000,0000,,And why tenths, you ask?
Dialogue: 0,0:00:15.04,0:00:19.11,Default,,0000,0000,0000,,Well, I just described\Nthe second number as 4/10.
Dialogue: 0,0:00:19.11,0:00:21.66,Default,,0000,0000,0000,,So what would eight be in terms of tenths?
Dialogue: 0,0:00:21.66,0:00:24.51,Default,,0000,0000,0000,,Well, we know that one whole
Dialogue: 0,0:00:24.51,0:00:27.16,Default,,0000,0000,0000,,is equal to 10/10,
Dialogue: 0,0:00:28.07,0:00:32.06,Default,,0000,0000,0000,,so eight wholes is going\Nto be equal to 80/10.
Dialogue: 0,0:00:33.37,0:00:34.68,Default,,0000,0000,0000,,So I could write that down over here.
Dialogue: 0,0:00:34.68,0:00:38.40,Default,,0000,0000,0000,,Instead of eight, I can\Nwrite that as 80/10.
Dialogue: 0,0:00:38.40,0:00:41.58,Default,,0000,0000,0000,,And I'm taking 80/10 and\NI'm dividing that by,
Dialogue: 0,0:00:41.58,0:00:43.52,Default,,0000,0000,0000,,divided by 4/10.
Dialogue: 0,0:00:43.52,0:00:46.77,Default,,0000,0000,0000,,I'm just writing out, 4/10.
Dialogue: 0,0:00:46.77,0:00:48.86,Default,,0000,0000,0000,,So if I have 80 of something,
Dialogue: 0,0:00:48.86,0:00:52.37,Default,,0000,0000,0000,,and if I'm diving it into groups\Nof four of that something,
Dialogue: 0,0:00:52.37,0:00:54.66,Default,,0000,0000,0000,,how many equal groups am I going to have?
Dialogue: 0,0:00:54.66,0:00:57.43,Default,,0000,0000,0000,,Well, I'm gonna have 80\Ndivided by four groups,
Dialogue: 0,0:00:57.43,0:01:00.39,Default,,0000,0000,0000,,or 80 divided by four,\Neight divided by four.
Dialogue: 0,0:01:00.39,0:01:01.54,Default,,0000,0000,0000,,Actually, let me just write that down.
Dialogue: 0,0:01:01.54,0:01:05.15,Default,,0000,0000,0000,,This is going to be equal to 80 over four
Dialogue: 0,0:01:05.15,0:01:06.89,Default,,0000,0000,0000,,or 80 divided by four.
Dialogue: 0,0:01:06.89,0:01:08.80,Default,,0000,0000,0000,,And eight divided by four is two,
Dialogue: 0,0:01:08.80,0:01:12.50,Default,,0000,0000,0000,,so 80 divided by four is\Ngoing to be equal to 20.
Dialogue: 0,0:01:12.50,0:01:16.51,Default,,0000,0000,0000,,So eight divided by 4/10 is equal to 20.
Dialogue: 0,0:01:16.51,0:01:18.63,Default,,0000,0000,0000,,Another way that you\Ncould think about that is
Dialogue: 0,0:01:18.63,0:01:20.90,Default,,0000,0000,0000,,to rewrite eight divided by 4/10
Dialogue: 0,0:01:20.90,0:01:25.90,Default,,0000,0000,0000,,as eight over 4/10.
Dialogue: 0,0:01:26.29,0:01:28.32,Default,,0000,0000,0000,,Over 4/10.
Dialogue: 0,0:01:28.32,0:01:30.48,Default,,0000,0000,0000,,And then if you wanted to rewrite this,
Dialogue: 0,0:01:30.48,0:01:32.87,Default,,0000,0000,0000,,you could say, "Hey, can\NI multiply the numerator
Dialogue: 0,0:01:32.87,0:01:35.73,Default,,0000,0000,0000,,"and the denominator by some\Nquantity that'll get rid
Dialogue: 0,0:01:35.73,0:01:37.84,Default,,0000,0000,0000,,"of the decimal in the denominator?"
Dialogue: 0,0:01:37.84,0:01:40.97,Default,,0000,0000,0000,,Well, I could multiply\Nthe denominator by 10.
Dialogue: 0,0:01:40.97,0:01:42.70,Default,,0000,0000,0000,,And if I don't wanna change\Nthe value of the fraction,
Dialogue: 0,0:01:42.70,0:01:45.24,Default,,0000,0000,0000,,I have to multiply the\Nnumerator by that same amount.
Dialogue: 0,0:01:45.24,0:01:47.18,Default,,0000,0000,0000,,Well, what does that get us?
Dialogue: 0,0:01:47.18,0:01:49.38,Default,,0000,0000,0000,,Well, this is going to be equal to,
Dialogue: 0,0:01:49.38,0:01:51.20,Default,,0000,0000,0000,,in the denominator right over here,
Dialogue: 0,0:01:51.20,0:01:53.18,Default,,0000,0000,0000,,I'm just going to have a four.
Dialogue: 0,0:01:53.18,0:01:55.19,Default,,0000,0000,0000,,So we got rid of the decimal.
Dialogue: 0,0:01:55.19,0:01:58.73,Default,,0000,0000,0000,,In the numerator, I am going to get 80.
Dialogue: 0,0:01:58.73,0:02:02.53,Default,,0000,0000,0000,,So once again, we get 80 over\Nfour, which is equal to 20.
Dialogue: 0,0:02:02.53,0:02:03.61,Default,,0000,0000,0000,,Let's do another example,
Dialogue: 0,0:02:03.61,0:02:06.46,Default,,0000,0000,0000,,but in this case we'll\Ndeal with hundredths.
Dialogue: 0,0:02:06.46,0:02:09.17,Default,,0000,0000,0000,,So let's say we want to figure out
Dialogue: 0,0:02:09.17,0:02:12.79,Default,,0000,0000,0000,,what is 48
Dialogue: 0,0:02:12.79,0:02:16.71,Default,,0000,0000,0000,,divided by 0.24
Dialogue: 0,0:02:17.87,0:02:20.20,Default,,0000,0000,0000,,or 24/100?
Dialogue: 0,0:02:20.20,0:02:22.40,Default,,0000,0000,0000,,Pause this video and\Ntry to figure that out.
Dialogue: 0,0:02:23.41,0:02:26.41,Default,,0000,0000,0000,,All right, well, we can\Ndo something very similar.
Dialogue: 0,0:02:26.41,0:02:28.25,Default,,0000,0000,0000,,This time we're dealing with hundredths,
Dialogue: 0,0:02:28.25,0:02:29.94,Default,,0000,0000,0000,,so we could try to express everything
Dialogue: 0,0:02:29.94,0:02:31.63,Default,,0000,0000,0000,,in terms of hundredths.
Dialogue: 0,0:02:31.63,0:02:35.32,Default,,0000,0000,0000,,So 48 is equal to how many hundredths?
Dialogue: 0,0:02:35.32,0:02:39.73,Default,,0000,0000,0000,,Well, we know that one\Nis equal to 100/100,
Dialogue: 0,0:02:42.51,0:02:46.45,Default,,0000,0000,0000,,so 48 is going to be equal
Dialogue: 0,0:02:46.45,0:02:51.45,Default,,0000,0000,0000,,to 48 times 100/100.
Dialogue: 0,0:02:51.67,0:02:53.60,Default,,0000,0000,0000,,Maybe I'll just write it like that.
Dialogue: 0,0:02:53.60,0:02:55.42,Default,,0000,0000,0000,,Or you might be able to\Nsay, "Hey, that's 4,800
Dialogue: 0,0:02:55.42,0:02:57.98,Default,,0000,0000,0000,,"or 4,800/100."
Dialogue: 0,0:02:57.98,0:02:59.75,Default,,0000,0000,0000,,So let's just, actually,\NI'll write it that way.
Dialogue: 0,0:02:59.75,0:03:04.75,Default,,0000,0000,0000,,This is going to be 4,800/100
Dialogue: 0,0:03:07.12,0:03:11.45,Default,,0000,0000,0000,,divided by, this is 24/100.
Dialogue: 0,0:03:11.45,0:03:13.84,Default,,0000,0000,0000,,24/100.
Dialogue: 0,0:03:15.50,0:03:17.36,Default,,0000,0000,0000,,And so what's that going to be?
Dialogue: 0,0:03:17.36,0:03:19.29,Default,,0000,0000,0000,,Well, same logic as we used up here.
Dialogue: 0,0:03:19.29,0:03:22.40,Default,,0000,0000,0000,,If I have 4,800 of something\Nor 4,800 of something
Dialogue: 0,0:03:22.40,0:03:24.54,Default,,0000,0000,0000,,and if I'm dividing it into equal groups
Dialogue: 0,0:03:24.54,0:03:27.10,Default,,0000,0000,0000,,of 24 of that something,
Dialogue: 0,0:03:27.10,0:03:31.43,Default,,0000,0000,0000,,well, I'm going to have 4,800\Ndivided by 24 equal groups.
Dialogue: 0,0:03:31.43,0:03:34.21,Default,,0000,0000,0000,,So this is going to be equal to 4,800
Dialogue: 0,0:03:36.03,0:03:38.16,Default,,0000,0000,0000,,over 24.
Dialogue: 0,0:03:38.16,0:03:42.97,Default,,0000,0000,0000,,We could express 4,800 as, of\Ncourse, 48 times a hundred.
Dialogue: 0,0:03:42.97,0:03:44.81,Default,,0000,0000,0000,,So this is equal to 48
Dialogue: 0,0:03:44.81,0:03:48.73,Default,,0000,0000,0000,,times 100 over 24.
Dialogue: 0,0:03:48.73,0:03:51.45,Default,,0000,0000,0000,,And of course, you could\Nview this as the same thing
Dialogue: 0,0:03:51.45,0:03:55.10,Default,,0000,0000,0000,,as this is equal to 48 over 24.
Dialogue: 0,0:03:56.07,0:03:59.58,Default,,0000,0000,0000,,48 over 24, and many of you\Nmight have already done it
Dialogue: 0,0:03:59.58,0:04:02.19,Default,,0000,0000,0000,,in your head, times 100.
Dialogue: 0,0:04:03.13,0:04:05.82,Default,,0000,0000,0000,,What's 48 divided by 24?
Dialogue: 0,0:04:05.82,0:04:08.29,Default,,0000,0000,0000,,Well, that is going to be equal to two.
Dialogue: 0,0:04:08.29,0:04:11.34,Default,,0000,0000,0000,,So two times a hundred is equal to 200.
Dialogue: 0,0:04:11.34,0:04:14.46,Default,,0000,0000,0000,,So this right over here is equal to 200.
Dialogue: 0,0:04:14.46,0:04:16.30,Default,,0000,0000,0000,,You can also do it in this type
Dialogue: 0,0:04:16.30,0:04:18.63,Default,,0000,0000,0000,,or do it similar to the way we did this
Dialogue: 0,0:04:18.63,0:04:22.71,Default,,0000,0000,0000,,where instead of\Nexpressing it out as words,
Dialogue: 0,0:04:22.71,0:04:26.00,Default,,0000,0000,0000,,you could express it as 48 over 24/100.
Dialogue: 0,0:04:26.00,0:04:27.51,Default,,0000,0000,0000,,And instead of multiplying the numerator
Dialogue: 0,0:04:27.51,0:04:28.50,Default,,0000,0000,0000,,and denominator by 10,
Dialogue: 0,0:04:28.50,0:04:30.54,Default,,0000,0000,0000,,maybe you wanna multiply\Nit by something else
Dialogue: 0,0:04:30.54,0:04:33.64,Default,,0000,0000,0000,,to get whole numbers in both\Nthe numerator and denominator.
Dialogue: 0,0:04:33.64,0:04:35.03,Default,,0000,0000,0000,,Think about that after this video,
Dialogue: 0,0:04:35.03,0:04:37.05,Default,,0000,0000,0000,,and try to work it out that way as well.