0:00:00.560,0:00:05.830 A recipe for banana oat muffins[br]calls for 3/4 of a cup 0:00:05.830,0:00:07.820 of old-fashioned oats. 0:00:07.820,0:00:10.740 You are making 1/2[br]of the recipe. 0:00:10.740,0:00:13.230 How much oats should you use? 0:00:13.230,0:00:16.550 So if the whole recipe requires[br]3/4 of a cup and 0:00:16.550,0:00:18.630 you're making half of[br]the recipe, you want 0:00:18.630,0:00:20.520 half of 3/4, right? 0:00:20.520,0:00:23.100 You want half of the number of[br]old-fashioned oats as the 0:00:23.100,0:00:24.330 whole recipe. 0:00:24.330,0:00:28.440 So you want 1/2 of 3/4. 0:00:31.010,0:00:35.860 So you just multiply 1/2 times[br]3/4, and this is equal to-- 0:00:35.860,0:00:37.550 you multiply the numerators. 0:00:37.550,0:00:40.590 1 times 3 is 3. 0:00:40.590,0:00:42.960 2 times 4 is 8. 0:00:42.960,0:00:43.820 And we're done! 0:00:43.820,0:00:51.885 You need 3/8 of a cup of[br]old-fashioned oats. 0:00:51.885,0:00:54.220 And let's visualize that a[br]little bit, just so it makes a 0:00:54.220,0:00:55.040 little bit more sense. 0:00:55.040,0:00:59.560 Let me draw what 3/4 looks like,[br]or essentially how much 0:00:59.560,0:01:02.400 oats you would need in a normal[br]situation, or if you're 0:01:02.400,0:01:04.060 doing the whole recipe. 0:01:04.060,0:01:06.950 So let me draw. 0:01:06.950,0:01:11.270 Let's say this represents a[br]whole cup, and if we put it 0:01:11.270,0:01:15.040 into fourths-- let me divide[br]it a little bit better. 0:01:15.040,0:01:23.690 So if we put it into fourths,[br]3/4 would represent three of 0:01:23.690,0:01:28.290 these, so it would represent[br]one, two, three. 0:01:28.290,0:01:30.740 It would represent[br]that many oats. 0:01:30.740,0:01:33.240 Now, you want half[br]of this, right? 0:01:33.240,0:01:35.110 Because you're going to make[br]half of the recipe. 0:01:35.110,0:01:39.320 So we can just split[br]this in half. 0:01:39.320,0:01:41.700 Let me do this with[br]a new color. 0:01:41.700,0:01:44.600 So you would normally use this[br]orange amount of oats, but 0:01:44.600,0:01:46.270 we're going to do half the[br]recipe, so you'd want 0:01:46.270,0:01:47.645 half as many oats. 0:01:50.440,0:01:54.930 So you would want[br]this many oats. 0:01:54.930,0:01:56.790 Now, let's think about[br]what that is 0:01:56.790,0:01:59.190 relative to a whole cup. 0:01:59.190,0:02:02.520 Well, one way we can do it is[br]to turn each of these four 0:02:02.520,0:02:05.360 buckets, or these four pieces,[br]or these four sections of a 0:02:05.360,0:02:07.630 cup into eight sections[br]of a cup. 0:02:07.630,0:02:09.000 Let's see what happens[br]when we do that. 0:02:09.000,0:02:13.260 So we're essentially turning[br]each piece, each fourth, into 0:02:13.260,0:02:14.530 two pieces. 0:02:14.530,0:02:16.510 So let's divide each[br]of them into two. 0:02:16.510,0:02:19.340 So this is the first piece. 0:02:19.340,0:02:22.810 We're going to divide it into[br]two right there, so now it is 0:02:22.810,0:02:24.250 two pieces. 0:02:24.250,0:02:26.300 And then this is the second[br]piece right here. 0:02:26.300,0:02:30.390 We divide it into one piece[br]and then two pieces. 0:02:30.390,0:02:32.980 This is the third piece, so[br]we divide it into one, two 0:02:32.980,0:02:35.805 pieces, and this is the fourth[br]piece, or the fourth section, 0:02:35.805,0:02:37.950 and we divide it into[br]two sections. 0:02:37.950,0:02:45.490 Now, what is this as a fraction[br]of the whole? 0:02:45.490,0:02:47.840 Well, we have eight[br]pieces now, right? 0:02:47.840,0:02:50.810 One, two, three, four, five,[br]six, seven, eight, because we 0:02:50.810,0:02:53.380 turned each of the four, we[br]split them again into eight, 0:02:53.380,0:02:56.650 so we have 8 as the denominator,[br]and we took half 0:02:56.650,0:02:57.980 of the 3/4, right? 0:02:57.980,0:03:00.430 Remember, 3/4 was in orange. 0:03:00.430,0:03:02.170 Let me make this very[br]clear because this 0:03:02.170,0:03:04.110 drawing can get confusing. 0:03:04.110,0:03:06.280 This was 3/4 right there. 0:03:06.280,0:03:09.090 So that is 3/4. 0:03:09.090,0:03:19.620 This area in this purple color[br]is 1/2 of the 3/4. 0:03:19.620,0:03:22.020 But let's think about it[br]in terms of the eights. 0:03:22.020,0:03:24.180 How many of these sections[br]of eight is it? 0:03:24.180,0:03:26.910 Well, you have one section of[br]eight here, two sections of 0:03:26.910,0:03:30.820 eight there, three sections[br]of eight, so it is 3/8. 0:03:30.820,0:03:33.460 So hopefully that makes some[br]sense or gives you a more 0:03:33.460,0:03:35.260 tangible feel for what[br]it means when 0:03:35.260,0:03:36.800 you take 1/2 of 3/4.