Equivalent Fractions
One Whole
1
Equivalent Fractions
Cut them in half
Equivalent Fractions
Shown is one half
How many
1 pieces we want
How many
2 pieces it’s cut
into
Equivalent Fractions
Shown is one half
1 NUMERATOR
2 DENOMINATOR
Equivalent Fractions
I cut my shape again
I still show
1
2
Equivalent Fractions
But I also show
2
4
Equivalent Fractions
One half is
EQUIVALENT TO
2 quarters
1 2
2 4
Equivalent Fractions
1 2
2 4
This symbol looks like an equals sign with a third line.
It is the mathematical sign for EQUIVALENT TO -
which means “is worth the same as”.
Equivalent Fractions
We can use equivalent fraction to make our
numbers easier to handle.
Smaller numbers are SIMPLE
160 ÷ 10 16 ÷4 4
200 ÷ 10 20 ÷4 5
Equivalent Fractions
We can use different language for Simplest form
making the fraction as small as possible. Lowest terms
Watch out for this language in the Simplified
future. It is often used in Key Stage 3.
Cancelled down
160 4
200 5
This fraction is as simple as we can make it
Equivalent Fractions
Look for numbers that
15 both the NUMERATOR
and the DENOMINATOR
can be divided by.
45 We want numbers bigger
than 1.
60 We call these
COMMON FACTORS
80
Equivalent Fractions
These numbers have
15 ÷3 3 as a common factor.
45 ÷3 This means they can
both be shared by 3.
60 ÷ 10
A common factor
here is 10
80 ÷ 10
Equivalent Fractions
15 ÷3 5
45 ÷3 15
60 ÷ 10 6
80 ÷ 10 8
Equivalent Fractions
15 ÷3 5 ÷5
45 ÷3 15 ÷5
60 ÷ 10 6 ÷2
80 ÷ 10 8 ÷2
Equivalent Fractions
15 ÷3 5 ÷5 1
45 ÷3 15 ÷5 3
60 ÷ 10 6 ÷2 3
80 ÷ 10 8 ÷2 4
Equivalent Fractions
If the top number is
15 1 a 1, we know we can
stop.
45 3
If the top and
bottom number
60 3 are not
DIVISIBLE by
the same
80 4 number, we
stop.
Equivalent Fractions
They have no
15 1 FACTORS in
common other
than 1
45 3
60 3 They have no
FACTORS in
common other
80 4 than 1