3
Chapter
Fractions
This chapter will show you how to
find equivalent fractions and write a fraction in its
✔
simplest form
put fractions in order of size
✔
find a fraction of a quantity
✔
use improper fractions and mixed numbers
✔
use the four rules for fractions
✔
convert between fractions, decimals and percentages
✔
recognise rational and irrational numbers
✔
handle terminating and recurring decimals
✔
write terminating and recurring decimals as fractions
✔
3.1
Understanding fractions
This cake has been cut into six equal pieces.
One of the pieces has been eaten.
A fraction has a top number called the numerator and a
bottom number called the denominator.
1
You say that
(one sixth) of the cake has been eaten.
6
numerator
1 piece eaten
When the numerator is smaller than the denominator the
1
fraction is a proper fraction.
6
A proper fraction is always part of a whole.
denominator
The cake is
divided into 6
You can use pictures to show proper fractions.
4 equal parts
5 equal parts
3 parts shaded
2 parts shaded
3
2
is shaded.
is shaded.
4
5
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