WEBVTT
00:00:01.790 --> 00:00:10.260
Arrange eight-halves, eight-quarters, eight-sixths, and eight-fifths in ascending order.
00:00:11.900 --> 00:00:15.380
Often when we’re comparing fractions, they have the same denominator.
00:00:16.050 --> 00:00:18.030
This means that we can put them into order quickly.
00:00:18.060 --> 00:00:21.230
For example, we know that two-quarters is less than three-quarters.
00:00:22.050 --> 00:00:25.520
And the fractions we have here don’t have the same denominator.
00:00:25.930 --> 00:00:27.760
But they do have something else in common.
00:00:27.970 --> 00:00:28.340
Can you see?
00:00:28.340 --> 00:00:30.720
They all have the same numerator.
00:00:31.590 --> 00:00:38.300
And so, as long as we understand what the numerator and the denominator in a fraction represent, then we can put these into order quickly.
00:00:38.940 --> 00:00:42.050
We’re asked to arrange these in ascending order.
00:00:42.740 --> 00:00:44.650
That’s smallest to largest.
00:00:46.150 --> 00:00:50.280
Now, as we’ve said already, the numerators in our fractions are all the same.
00:00:50.920 --> 00:00:53.270
So, we can only look at the denominators.
00:00:53.940 --> 00:00:56.430
Which is going to be the smallest fraction?
00:00:57.260 --> 00:01:02.680
Is it going to be the one with the smallest denominator, which we can see here is two, which represents halves?
00:01:03.530 --> 00:01:05.990
Or is it going to be the one with the largest denominator?
00:01:06.130 --> 00:01:08.790
Here, it’s a six, which represents sixths.
00:01:09.900 --> 00:01:12.590
Let’s remind ourselves what a denominator is.
00:01:13.170 --> 00:01:19.210
The denominator, or the bottom number in a fraction, is the number of equal parts that one whole has been split into.
00:01:19.850 --> 00:01:26.630
Now, the really important thing to remind ourselves here is the larger the denominator, the smaller the part.
00:01:27.550 --> 00:01:33.230
Here, we can see one-half because the whole has been split into two parts.
00:01:34.190 --> 00:01:40.030
And we can also see one-eighth because the whole has been split into eight equal parts.
00:01:40.920 --> 00:01:46.780
And we can use the fact that the larger the denominator, the smaller the part to help us find the answer here.
00:01:47.400 --> 00:01:55.200
If we apply then what we know about denominator to the question, we are looking for the number with the largest denominator first.
00:01:55.620 --> 00:01:57.860
This will be the one with the smallest part.
00:01:58.600 --> 00:02:02.240
And the largest denominator, as we’ve said already, is a six.
00:02:03.020 --> 00:02:07.020
So, the smallest fraction here is eight-sixths.
00:02:08.160 --> 00:02:25.900
The next largest denominator is a five, so we have eight-fifths, then a four, eight-quarters, and finally a two, eight-halves.
00:02:26.960 --> 00:02:33.360
Our four fractions all have the same numerator, and so the same number of parts that we’ve chosen.
00:02:34.170 --> 00:02:41.550
And so, to put these fractions in order, we needed to understand that the larger the denominator, the smaller the part.
00:02:42.090 --> 00:02:45.500
We could then arrange our four fractions in ascending order.
00:02:46.890 --> 00:02:56.050
And they are eight-sixths, eight-fifths, eight-quarters, and eight-halves.