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Trains. I am learning to find where fractions live amongst whole numbers. , etc. 2, 3, 4, etc. Important terms:. 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.
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Trains I am learning to find where fractions live amongst whole numbers. , etc. 2, 3, 4, etc. Important terms: 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
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 X = or 1 whole. Imagine you had 7 of these carriages. How many whole carriages could you make? 7 X = You can see that is more than 1 whole but less than 2 wholes. It is 1 whole … and 3 more quarters … So 1 is the same as
What fraction of a whole carriage is one of these little carriages? 6 X = or 1 whole. We have 16 small carriages. How many sixths is this? 16 X = Now 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. so is the same as 2 It is 2 whole carriages … and four more sixths.
This carriage is of a whole carriage. Imagine 16 of these. How many thirds is this? 16 X = Record where would sit on the number line below. 0 1 3 4 5 6 2 0 You can see is more than 5 wholes and less than 6 wholes. Change this improper fraction into a mixed fraction. = 5
Now try these questions on your own. Change the following improper fractions into mixed fractions. Click again when you have worked out all your answers. 6) 7) 8) 9) 10) 1) 2) 3) 4) 5) 3 2 3 4 4 2 or 2 2 3 or 4 4 1 Need some more practise? Try Pg26 & 27 of Teacher Tools Fractions, Decimals and Percentages Book Numeracy resources