WEBVTT 00:00:00.000 --> 00:00:00.500 00:00:00.500 --> 00:00:03.220 We're asked to subtract and simplify the answer, and we 00:00:03.220 --> 00:00:06.170 have 8/18 minus 5/18. 00:00:06.170 --> 00:00:08.500 So subtracting fractions is very 00:00:08.500 --> 00:00:09.920 similar to adding fractions. 00:00:09.920 --> 00:00:12.620 If we have the same denominator, the denominator 00:00:12.620 --> 00:00:14.460 in the difference is going to be the same as the 00:00:14.460 --> 00:00:16.379 denominators in the two numbers that we're 00:00:16.379 --> 00:00:18.700 subtracting, so it's going to be 18. 00:00:18.700 --> 00:00:20.900 And our numerator is going to be the difference between the 00:00:20.900 --> 00:00:21.470 numerators. 00:00:21.470 --> 00:00:26.750 So in this case, it is 8 minus 5, and this will be equal to 3 00:00:26.750 --> 00:00:30.900 over 18, which is the answer, but it's not completely 00:00:30.900 --> 00:00:35.250 simplified, because both 3 and 18 are divisible by 3. 00:00:35.250 --> 00:00:37.450 So let's divide them both by 3. 00:00:37.450 --> 00:00:42.540 So you divide 3 by 3, you divide 18 by 3, and you get 3 00:00:42.540 --> 00:00:44.390 divided by 3 is 1. 00:00:44.390 --> 00:00:49.000 18 divided by 3 is 6, so you get 1/6. 00:00:49.000 --> 00:00:53.280 And just to see this visually, let me draw 18 parts. 00:00:53.280 --> 00:00:56.030 Let me draw 18 parts here. 00:00:56.030 --> 00:00:58.395 So it might be a little bit of a messy drawing. 00:00:58.395 --> 00:01:00.070 I'll try the best I can. 00:01:00.070 --> 00:01:02.810 So let me draw six in this direction. 00:01:02.810 --> 00:01:06.900 So that is three right there. 00:01:06.900 --> 00:01:09.730 We have another three, so that's six parts. 00:01:09.730 --> 00:01:12.990 And then let me split this into three columns. 00:01:12.990 --> 00:01:13.690 So there we go. 00:01:13.690 --> 00:01:15.390 We have 18 parts. 00:01:15.390 --> 00:01:24.050 Now 8/18 is equal to one, two, three, four, 00:01:24.050 --> 00:01:27.330 five, six, seven, eight. 00:01:27.330 --> 00:01:28.990 That's 8/18. 00:01:28.990 --> 00:01:33.370 And now we want to subtract five of the eighteenths, so we 00:01:33.370 --> 00:01:38.210 subtract one, two, three, four, five. 00:01:38.210 --> 00:01:39.525 Now, what do we have left over? 00:01:39.525 --> 00:01:43.150 Well, we have three of the eighteenths left over, so you 00:01:43.150 --> 00:01:44.960 have that right there. 00:01:44.960 --> 00:01:48.340 You have three of the eighteenths left over. 00:01:48.340 --> 00:01:52.340 Now, if you turn three of the eighteenths into one piece, 00:01:52.340 --> 00:01:54.500 how many of those bigger pieces do you have? 00:01:54.500 --> 00:01:56.450 This is one of those big pieces. 00:01:56.450 --> 00:01:57.640 Now, where are the other ones? 00:01:57.640 --> 00:02:00.820 Well, this is another big piece right here. 00:02:00.820 --> 00:02:03.720 This is another big piece right here, another one, 00:02:03.720 --> 00:02:04.970 another one, and another one. 00:02:04.970 --> 00:02:08.110 If you had 18 pieces and you merged three of the pieces 00:02:08.110 --> 00:02:11.960 into one, then you actually end up with only six pieces. 00:02:11.960 --> 00:02:13.590 You end up with six pieces. 00:02:13.590 --> 00:02:17.720 Hopefully, you see that each row is one of the pieces now, 00:02:17.720 --> 00:02:22.300 and the blue is exactly one of the six, so 3/18 00:02:22.300 --> 00:02:23.550 is the same as 1/6. 00:02:23.550 --> 00:02:25.334