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Gamston Church of England Primary School

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Confused about fractions?

Class 4 have been working very hard to understand fractions. Although we are able to answer lots of different questions relating to fractions we discovered it was a lot harder to explain how to work them out...



We have been learning about mixed numbers, improper fractions, fractions of a quantity and lots more. In fractions of a quantity you have a number and then you have to find a fraction of it.


e.g. Find 1/5 of 30

30 ÷ 5 = 6

6 x 1 = 6

So the answer is 6.


Find 1/3 of 18

18 ÷ 3 = 6

So the answer is 6.




This week we have learnt how to change an improper fraction to a mixed number. For example 17/6

You see how many times 6 goes into 17 which is 2, with 5 left over.

So the normal number is 2 and the denominator stays the same /6 then the number left over becomes the numerator.

So 17/6 becomes  2  5/6





Fractions, percentages and decimals are all similar. Mixed numbers look like this:  2 ¼ You can change it to an improper fraction which would be 9/4. The bottom number of a fraction is called the denominator and the top number is the numerator.





I can understand mixed numbers and improper fractions.


e.g. 14/5 = 2  4/5


I can find a fraction of a number as well


e.g. 1/4 of 12 = 3 






To find a fraction of a number e.g. 2/5 of 35

First see how many times 5 goes into 30

30 ÷ 5 = 7

Then you times the answer by the numerator (the top number)

7 x 2 = 14




Ella B

How to change an improper fraction to a mixed number:

First divide your numerator by the denominator...

If the improper fraction is:    19/8  

Then 19 ÷ 8 = 2 r3


Now keep the denominator the same (in this case the 8)

so    / 8


Now you put the remainder on the top of the fraction (as the numerator)

So    3/8


Finally put your whole number by your fraction on the left side and you have your answer:


2  3/8




This week and last week we have been learning about fractions and how to turn them into their simplest form. But this is how to find a fraction of a number:

If you had to find 1/10 of 100 then you would see how many times the denominator (that's the bottom number) goes into the number you are using (100) 

10 goes into 100 ten times so the answer 1/10 of 100 is 10.





We have been learning about fractions and looking for equivalent fractions. Equivalent means the same as.

For example 1/2 = 3/6

Improper fractions are where the numerator is bigger than the denominator such as 19/4 which if you changed into mixed numbers it would be 4 3/4 because you would divide 19 by 4 which equals 4 r3 so the denominator would stay the same, but the numerator would be 3 because that was your remainder.   




I know how to simplify fractions:

e.g. 4/8 = 1/2

     4/16 = 1/4

Find a number that goes into both the numerator and denominator and then divide them by the same number.