﻿[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.56,0:00:05.83,Default,,0000,0000,0000,,A recipe for banana oat muffins\Ncalls for 3/4 of a cup Dialogue: 0,0:00:05.83,0:00:07.82,Default,,0000,0000,0000,,of old-fashioned oats. Dialogue: 0,0:00:07.82,0:00:10.74,Default,,0000,0000,0000,,You are making 1/2\Nof the recipe. Dialogue: 0,0:00:10.74,0:00:13.23,Default,,0000,0000,0000,,How much oats should you use? Dialogue: 0,0:00:13.23,0:00:16.55,Default,,0000,0000,0000,,So if the whole recipe requires\N3/4 of a cup and Dialogue: 0,0:00:16.55,0:00:18.63,Default,,0000,0000,0000,,you're making half of\Nthe recipe, you want Dialogue: 0,0:00:18.63,0:00:20.52,Default,,0000,0000,0000,,half of 3/4, right? Dialogue: 0,0:00:20.52,0:00:23.10,Default,,0000,0000,0000,,You want half of the number of\Nold-fashioned oats as the Dialogue: 0,0:00:23.10,0:00:24.33,Default,,0000,0000,0000,,whole recipe. Dialogue: 0,0:00:24.33,0:00:28.44,Default,,0000,0000,0000,,So you want 1/2 of 3/4. Dialogue: 0,0:00:31.01,0:00:35.86,Default,,0000,0000,0000,,So you just multiply 1/2 times\N3/4, and this is equal to-- Dialogue: 0,0:00:35.86,0:00:37.55,Default,,0000,0000,0000,,you multiply the numerators. Dialogue: 0,0:00:37.55,0:00:40.59,Default,,0000,0000,0000,,1 times 3 is 3. Dialogue: 0,0:00:40.59,0:00:42.96,Default,,0000,0000,0000,,2 times 4 is 8. Dialogue: 0,0:00:42.96,0:00:43.82,Default,,0000,0000,0000,,And we're done! Dialogue: 0,0:00:43.82,0:00:51.88,Default,,0000,0000,0000,,You need 3/8 of a cup of\Nold-fashioned oats. Dialogue: 0,0:00:51.88,0:00:54.22,Default,,0000,0000,0000,,And let's visualize that a\Nlittle bit, just so it makes a Dialogue: 0,0:00:54.22,0:00:55.04,Default,,0000,0000,0000,,little bit more sense. Dialogue: 0,0:00:55.04,0:00:59.56,Default,,0000,0000,0000,,Let me draw what 3/4 looks like,\Nor essentially how much Dialogue: 0,0:00:59.56,0:01:02.40,Default,,0000,0000,0000,,oats you would need in a normal\Nsituation, or if you're Dialogue: 0,0:01:02.40,0:01:04.06,Default,,0000,0000,0000,,doing the whole recipe. Dialogue: 0,0:01:04.06,0:01:06.95,Default,,0000,0000,0000,,So let me draw. Dialogue: 0,0:01:06.95,0:01:11.27,Default,,0000,0000,0000,,Let's say this represents a\Nwhole cup, and if we put it Dialogue: 0,0:01:11.27,0:01:15.04,Default,,0000,0000,0000,,into fourths-- let me divide\Nit a little bit better. Dialogue: 0,0:01:15.04,0:01:23.69,Default,,0000,0000,0000,,So if we put it into fourths,\N3/4 would represent three of Dialogue: 0,0:01:23.69,0:01:28.29,Default,,0000,0000,0000,,these, so it would represent\None, two, three. Dialogue: 0,0:01:28.29,0:01:30.74,Default,,0000,0000,0000,,It would represent\Nthat many oats. Dialogue: 0,0:01:30.74,0:01:33.24,Default,,0000,0000,0000,,Now, you want half\Nof this, right? Dialogue: 0,0:01:33.24,0:01:35.11,Default,,0000,0000,0000,,Because you're going to make\Nhalf of the recipe. Dialogue: 0,0:01:35.11,0:01:39.32,Default,,0000,0000,0000,,So we can just split\Nthis in half. Dialogue: 0,0:01:39.32,0:01:41.70,Default,,0000,0000,0000,,Let me do this with\Na new color. Dialogue: 0,0:01:41.70,0:01:44.60,Default,,0000,0000,0000,,So you would normally use this\Norange amount of oats, but Dialogue: 0,0:01:44.60,0:01:46.27,Default,,0000,0000,0000,,we're going to do half the\Nrecipe, so you'd want Dialogue: 0,0:01:46.27,0:01:47.64,Default,,0000,0000,0000,,half as many oats. Dialogue: 0,0:01:50.44,0:01:54.93,Default,,0000,0000,0000,,So you would want\Nthis many oats. Dialogue: 0,0:01:54.93,0:01:56.79,Default,,0000,0000,0000,,Now, let's think about\Nwhat that is Dialogue: 0,0:01:56.79,0:01:59.19,Default,,0000,0000,0000,,relative to a whole cup. Dialogue: 0,0:01:59.19,0:02:02.52,Default,,0000,0000,0000,,Well, one way we can do it is\Nto turn each of these four Dialogue: 0,0:02:02.52,0:02:05.36,Default,,0000,0000,0000,,buckets, or these four pieces,\Nor these four sections of a Dialogue: 0,0:02:05.36,0:02:07.63,Default,,0000,0000,0000,,cup into eight sections\Nof a cup. Dialogue: 0,0:02:07.63,0:02:09.00,Default,,0000,0000,0000,,Let's see what happens\Nwhen we do that. Dialogue: 0,0:02:09.00,0:02:13.26,Default,,0000,0000,0000,,So we're essentially turning\Neach piece, each fourth, into Dialogue: 0,0:02:13.26,0:02:14.53,Default,,0000,0000,0000,,two pieces. Dialogue: 0,0:02:14.53,0:02:16.51,Default,,0000,0000,0000,,So let's divide each\Nof them into two. Dialogue: 0,0:02:16.51,0:02:19.34,Default,,0000,0000,0000,,So this is the first piece. Dialogue: 0,0:02:19.34,0:02:22.81,Default,,0000,0000,0000,,We're going to divide it into\Ntwo right there, so now it is Dialogue: 0,0:02:22.81,0:02:24.25,Default,,0000,0000,0000,,two pieces. Dialogue: 0,0:02:24.25,0:02:26.30,Default,,0000,0000,0000,,And then this is the second\Npiece right here. Dialogue: 0,0:02:26.30,0:02:30.39,Default,,0000,0000,0000,,We divide it into one piece\Nand then two pieces. Dialogue: 0,0:02:30.39,0:02:32.98,Default,,0000,0000,0000,,This is the third piece, so\Nwe divide it into one, two Dialogue: 0,0:02:32.98,0:02:35.80,Default,,0000,0000,0000,,pieces, and this is the fourth\Npiece, or the fourth section, Dialogue: 0,0:02:35.80,0:02:37.95,Default,,0000,0000,0000,,and we divide it into\Ntwo sections. Dialogue: 0,0:02:37.95,0:02:45.49,Default,,0000,0000,0000,,Now, what is this as a fraction\Nof the whole? Dialogue: 0,0:02:45.49,0:02:47.84,Default,,0000,0000,0000,,Well, we have eight\Npieces now, right? Dialogue: 0,0:02:47.84,0:02:50.81,Default,,0000,0000,0000,,One, two, three, four, five,\Nsix, seven, eight, because we Dialogue: 0,0:02:50.81,0:02:53.38,Default,,0000,0000,0000,,turned each of the four, we\Nsplit them again into eight, Dialogue: 0,0:02:53.38,0:02:56.65,Default,,0000,0000,0000,,so we have 8 as the denominator,\Nand we took half Dialogue: 0,0:02:56.65,0:02:57.98,Default,,0000,0000,0000,,of the 3/4, right? Dialogue: 0,0:02:57.98,0:03:00.43,Default,,0000,0000,0000,,Remember, 3/4 was in orange. Dialogue: 0,0:03:00.43,0:03:02.17,Default,,0000,0000,0000,,Let me make this very\Nclear because this Dialogue: 0,0:03:02.17,0:03:04.11,Default,,0000,0000,0000,,drawing can get confusing. Dialogue: 0,0:03:04.11,0:03:06.28,Default,,0000,0000,0000,,This was 3/4 right there. Dialogue: 0,0:03:06.28,0:03:09.09,Default,,0000,0000,0000,,So that is 3/4. Dialogue: 0,0:03:09.09,0:03:19.62,Default,,0000,0000,0000,,This area in this purple color\Nis 1/2 of the 3/4. Dialogue: 0,0:03:19.62,0:03:22.02,Default,,0000,0000,0000,,But let's think about it\Nin terms of the eights. Dialogue: 0,0:03:22.02,0:03:24.18,Default,,0000,0000,0000,,How many of these sections\Nof eight is it? Dialogue: 0,0:03:24.18,0:03:26.91,Default,,0000,0000,0000,,Well, you have one section of\Neight here, two sections of Dialogue: 0,0:03:26.91,0:03:30.82,Default,,0000,0000,0000,,eight there, three sections\Nof eight, so it is 3/8. Dialogue: 0,0:03:30.82,0:03:33.46,Default,,0000,0000,0000,,So hopefully that makes some\Nsense or gives you a more Dialogue: 0,0:03:33.46,0:03:35.26,Default,,0000,0000,0000,,tangible feel for what\Nit means when Dialogue: 0,0:03:35.26,0:03:36.80,Default,,0000,0000,0000,,you take 1/2 of 3/4.