0:00:00.000,0:00:00.680 0:00:00.680,0:00:06.100 For an art project, a pentagon[br]made of construction paper is 0:00:06.100,0:00:09.180 cut into five equal slices. 0:00:09.180,0:00:11.210 Two of the slices are removed. 0:00:11.210,0:00:14.540 Write the remaining portion of[br]the pentagon as a fraction. 0:00:14.540,0:00:16.360 So let's draw ourselves[br]a pentagon. 0:00:16.360,0:00:20.060 A pentagon is just a five-sided[br]figure, so 0:00:20.060,0:00:22.010 it looks like this. 0:00:22.010,0:00:24.770 It's also where the Department[br]of Defense is located, a 0:00:24.770,0:00:26.450 building that's actually[br]in this shape. 0:00:26.450,0:00:28.950 That's why they call[br]it the Pentagon. 0:00:28.950,0:00:32.420 Let me draw it a little[br]nicer than that. 0:00:32.420,0:00:36.050 It looks something like this. 0:00:36.050,0:00:37.400 Eh! 0:00:37.400,0:00:39.980 My pentagon drawing skills[br]need some work. 0:00:39.980,0:00:43.070 0:00:43.070,0:00:43.840 There you go. 0:00:43.840,0:00:45.990 That's a pretty decent[br]shot at a pentagon. 0:00:45.990,0:00:48.480 So that's the pentagon made[br]out of construction paper. 0:00:48.480,0:00:51.140 Notice it has one, two, three,[br]four, five sides. 0:00:51.140,0:00:52.310 That's why it's called[br]a pentagon. 0:00:52.310,0:00:57.840 And it's cut into five equals[br]slices, so we could do that. 0:00:57.840,0:01:00.560 Maybe that's the center[br]of the pentagon. 0:01:00.560,0:01:03.270 Here this is one slice[br]right there. 0:01:03.270,0:01:08.690 That is two slices, three[br]slices, four slices, and then 0:01:08.690,0:01:10.070 a fifth slice, so you[br]can imagine these 0:01:10.070,0:01:11.970 are all equal slices. 0:01:11.970,0:01:14.736 Now, they're saying two of[br]the slices are removed. 0:01:14.736,0:01:18.890 0:01:18.890,0:01:21.310 So let's get rid of two[br]of these slices. 0:01:21.310,0:01:25.510 Let's say we remove that[br]slice up there. 0:01:25.510,0:01:27.750 Let's say we remove the[br]slice right next to 0:01:27.750,0:01:29.990 it right over there. 0:01:29.990,0:01:33.740 And then they want us to write[br]the remaining portion of the 0:01:33.740,0:01:34.990 pentagon as a fraction. 0:01:34.990,0:01:39.120 0:01:39.120,0:01:41.110 So what are the remaining[br]slices? 0:01:41.110,0:01:45.340 Well, I have this slice right[br]there, that slice right over 0:01:45.340,0:01:47.390 here and then this slice. 0:01:47.390,0:01:54.960 So you have three slices[br]remaining out of a total 0:01:54.960,0:01:56.610 possible of how many? 0:01:56.610,0:02:00.190 How many slices are in[br]the entire pentagon? 0:02:00.190,0:02:05.870 So if you look at the entire[br]pentagon, if you consider all 0:02:05.870,0:02:08.630 of the slices, we have[br]five slices. 0:02:08.630,0:02:12.120 So if you consider the entire[br]pentagon, it is made up of 0:02:12.120,0:02:14.680 five total slices. 0:02:14.680,0:02:21.670 So it's three remaining out of[br]five total slices, so you 0:02:21.670,0:02:35.590 could say that 3/5 of[br]the pentagon remain. 0:02:35.590,0:02:38.170 Or you could say 2/5[br]were removed. 0:02:38.170,0:02:42.070 That's two of the five slices[br]were removed, and then three 0:02:42.070,0:02:46.410 are remaining, or 3/5 of[br]the pentagon remain. 0:02:46.410,0:02:46.934