| Date post: | 02-Jan-2016 |
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Trains
I am learning to find where fractions live amongst whole numbers.
4
3
2
5, etc. 2, 3, 4, etc.
Improper fraction: The numerator is larger than the denominator e.g.
Mixed fraction: The fraction is made up of a whole number and a proper
fraction e.g. 2
2
5
2
1
Important terms:
If the block to the left is a full train carriage what must the block below it be?
Let’s add in some more to see if you are correct.
So it takes four carriages to make one full carriage. 4
1
4 X = or 1 whole.4
14
4
Imagine you had 7 of these carriages. How many whole carriages could you make? 4
1
7 X = 4
1
4
7
You can see that is more than 1 whole but less than 2 wholes.4
7
It is 1 whole … and 3 more quarters … So 1 is the same as 4
3
4
7
What fraction of a whole carriage is one of these little carriages?
6 X = or 1 whole.6
16
6
We have 16 small carriages. How many sixths is this?
16 X = 6
16
16Now let’s work out how many whole carriages this is.
You can see is more than 2 whole carriages but less than 3 whole carriages. 6
16
It is 2 whole carriages … and four more sixths. so is the same as 26
166
4
This carriage is of a whole carriage. Imagine 16 of these. 3
1
How many thirds is this? 16 X = 3
1
3
16
Record where would sit on the number line below.3
16
3
1
3
2
3
4
3
3
3
5
3
6
3
7
3
8
3
9
3
10
3
11
3
12
3
13
3
14
3
15
3
16
3
173
180
1 2 3 4 5 60
3
16
You can see is more than 5 wholes and less than 6 wholes. Change this
improper fraction into a mixed fraction. 3
16
= 5 3
16
3
1
Now try these questions on your own.
1)
2)
3)
4)
5)
Click again when you have worked out all your answers.
Need some more practise? Try Pg26 & 27 of Teacher Tools Fractions, Decimals and Percentages Book Numeracy resources
Change the following improper fractions into mixed fractions.
4
15
2
9
3
13
5
16
5
9
6)
7)
8)
9)
10)
3
7
4
13
10
25
9
19
4
18
3
4
4
3
1
2
3
2
2
4
4
3
2
1
3
1
5
1
5
4
3
1
4
1
10
5
9
1
4
2
or 22
1
or 42
1
