WEBVTT
00:00:01.030 --> 00:00:03.500
Let’s investigate equivalent fractions.
00:00:05.330 --> 00:00:11.240
Equivalent fractions are fractions that might look different but actually have the same value.
00:00:13.010 --> 00:00:21.560
They are the same amount of something, but first let’s quickly remember what is a fraction.
00:00:22.780 --> 00:00:26.040
A fraction is a part of a whole.
00:00:27.470 --> 00:00:36.390
For example, this whole pizza has eight parts, but the part that you ate was only one piece.
00:00:37.330 --> 00:00:41.490
So we say one out of eight, one-eighth.
00:00:42.890 --> 00:00:50.370
One is the part that you ate and eight is the number of slices of a pizza it takes to make a whole pizza.
00:00:52.400 --> 00:00:58.260
Some other words we use when we were talking about fractions are numerator and denominator.
00:01:00.070 --> 00:01:05.550
The numerator is the number on top and the denominator is the number on the bottom.
00:01:07.200 --> 00:01:09.320
So here is a pizza problem.
00:01:10.690 --> 00:01:15.170
Let’s say that Kim and Myra wanted to share a pizza for launch.
00:01:16.890 --> 00:01:22.190
Kim ate one-eighth of the pizza and Myra ate one-fourth.
00:01:23.990 --> 00:01:26.380
Who do you think ate more pizza?
00:01:27.380 --> 00:01:32.770
Let’s start by shading in the amount of pizza we think that Kim and Myra ate.
00:01:34.480 --> 00:01:40.720
So we’re thinking there were eight slices of pizza and Kim ate one.
00:01:42.020 --> 00:01:43.340
That’s Kim’s piece.
00:01:44.950 --> 00:01:50.350
But to figure out what’s happening with Myra, we need to change our thinking a little bit.
00:01:50.750 --> 00:01:53.360
We need to think about parts to the whole.
00:01:54.610 --> 00:02:00.010
Myra’s whole had only four sections and not eight.
00:02:00.440 --> 00:02:07.710
So if they were sharing a pizza, we need to divide up Myra’s fraction by four parts and not eight.
00:02:09.160 --> 00:02:16.280
Now that the pizza is divided into four parts, it’s easier to see how much pizza Myra ate.
00:02:17.640 --> 00:02:22.820
Since Myra ate one-fourth of the pizza, she ate two slices.
00:02:24.880 --> 00:02:27.270
Myra had two slices of pizza.
00:02:27.620 --> 00:02:28.750
Kim had one.
00:02:29.050 --> 00:02:31.170
Myra ate more pizza.
00:02:33.000 --> 00:02:37.200
Let’s take one more look at Kim and Myra’s pizza fractions.
00:02:38.590 --> 00:02:47.490
You might think that because Kim and Myra both have a one in the numerator that they must have eaten the same amount of pizza.
00:02:49.060 --> 00:02:51.930
But that is not the way fractions work.
00:02:53.420 --> 00:03:00.200
You might also think that because eight is bigger than four that Kim ate more pizza.
00:03:02.150 --> 00:03:05.970
But this is also not how fractions work.
00:03:08.810 --> 00:03:13.860
A better way to solve the problem is to draw a picture and then check the amounts.
00:03:15.390 --> 00:03:19.250
This strategy works when your circles are the same size.
00:03:19.640 --> 00:03:25.050
So when you use this strategy, make sure that you’re drawing the pictures the same size.
00:03:26.180 --> 00:03:29.990
But again, we see that Kim had less than Myra.
00:03:31.430 --> 00:03:34.530
This question is for you to try and solve.
00:03:36.300 --> 00:03:42.770
At a pizza party, Myra, Wes, and Jude all ate these fractions of pizza.
00:03:44.360 --> 00:03:51.750
The pizzas were all the same size, but some of them were cut with a different number of slices.
00:03:54.350 --> 00:03:56.480
Try and figure out who ate more.
00:03:57.840 --> 00:04:03.140
If you want to try and solve this problem on your own, you can pause the video now.
00:04:04.900 --> 00:04:18.710
If you aren’t sure where to start, you could start here by drawings three equally sized circles and dividing them by the same number of parts each person’s pizza was divided into.
00:04:20.450 --> 00:04:27.990
After you’ve shaded in your circles, it’s easy to say that again Myra ate the most pizza.
00:04:29.610 --> 00:04:33.500
Before we finish, let’s compare these last three fractions.
00:04:34.470 --> 00:04:36.770
What strategy do you think we should use?
00:04:38.120 --> 00:04:40.100
Let’s use the same strategy.
00:04:40.300 --> 00:04:43.420
First, we drew three equal sized circles.
00:04:44.910 --> 00:04:49.120
We divided them into the parts of the whole for each fraction.
00:04:51.040 --> 00:05:01.030
And now we’re gonna shade the part that we need: one-half, two-fourth, and four-eighths.
00:05:02.800 --> 00:05:06.720
One half, two-fourth, and four-eighths are equal.
00:05:07.270 --> 00:05:08.650
They have the same value.
00:05:09.170 --> 00:05:11.500
They mean the same amount.
00:05:12.920 --> 00:05:16.060
And so we call them equivalent fraction.
00:05:17.070 --> 00:05:21.190
Equivalent fractions have different numerators and denominators.
00:05:22.830 --> 00:05:25.270
But they’re equal fractions.
00:05:25.510 --> 00:05:28.530
They represent the same amount of something.
00:05:30.040 --> 00:05:33.030
You word to know is equivalent fractions.
00:05:33.350 --> 00:05:41.140
These are fractions whose numerator and denominator are different, but the fractions equal the same amount.
00:05:43.040 --> 00:05:49.330
A good way to solve problems when dealing with the equivalent fractions is to use models like we’ve done in this video.
00:05:50.510 --> 00:05:54.000
You can use your new fraction skill at your next pizza party.