Transcript Slide 1

Equivalent Fractions
One Whole
1
Equivalent Fractions
Cut them in half
Equivalent Fractions
Shown is one half
1
2
How many
pieces we want
How many
pieces it’s cut
into
Equivalent Fractions
Shown is one half
1
2
NUMERATOR
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
200
÷ 10
÷ 10
16
20
÷4
÷4
4
5
Equivalent Fractions
Simplest form
We can use different language for
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
15
45
60
80
Look for numbers that
both the NUMERATOR
and the DENOMINATOR
can be divided by.
We want numbers bigger
than 1.
We call these
COMMON FACTORS
Equivalent Fractions
15
÷3
45
÷3
60
÷ 10
80
÷ 10
These numbers have
3 as a common factor.
This means they can
both be shared by 3.
A common factor
here is 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
15
1
45
3
60
3
80
4
If the top number is
a 1, we know we can
stop.
If the top and
bottom number
are not
DIVISIBLE by
the same
number, we
stop.
Equivalent Fractions
15
1
45
3
60
3
80
4
They have no
FACTORS in
common other
than 1
They have no
FACTORS in
common other
than 1