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## Equivalent Fractions

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### Equivalent Fractions. Shown is one half. 1. 2. How many ... Equivalent Fractions. 1. 2. 2. 4. This symbol looks like an equals sign ... Equivalent Fractions ... – PowerPoint PPT presentation

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Title: Equivalent Fractions

1
Equivalent Fractions
One Whole 1
2
Equivalent Fractions
Cut them in half
3
Equivalent Fractions
Shown is one half 1 2
How many pieces we want
How many pieces its cut into
4
Equivalent Fractions
Shown is one half 1 2
NUMERATOR
DENOMINATOR
5
Equivalent Fractions
I cut my shape again I still show 1 2
6
Equivalent Fractions
But I also show 2 4
7
Equivalent Fractions
One half is EQUIVALENT TO 2 quarters
1 2
2 4
8
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.
9
Equivalent Fractions
We can use equivalent fraction to make our
numbers easier to handle.
Smaller numbers are SIMPLE
160 200
16 20
4 5
10
4
10
4
10
Equivalent Fractions
Simplest form Lowest terms Simplified Cancelled
down
We can use different language for making the
fraction as small as possible. Watch out for
this language in the future. It is often used in
Key Stage 3.
160 200
4 5
This fraction is as simple as we can make it
11
Equivalent Fractions
Look for numbers that both the NUMERATOR and the
DENOMINATOR can be divided by. We want numbers
bigger than 1.
15 45
60 80
We call these COMMON FACTORS
12
Equivalent Fractions
These numbers have 3 as a common factor. This
means they can both be shared by 3.
15 45
3
3
60 80
10
A common factor here is 10
10
13
Equivalent Fractions
15 45
5 15
3
3
60 80
6 8
10
10
14
Equivalent Fractions
15 45
5 15
3
5
3
5
60 80
6 8
10
2
10
2
15
Equivalent Fractions
15 45
5 15
1 3
3
5
3
5
60 80
6 8
3 4
10
2
10
2
16
Equivalent Fractions
If the top number is a 1, we know we can stop.
15 45
1 3
If the top and bottom number are not DIVISIBLE by
the same number, we stop.
60 80
3 4
17
Equivalent Fractions
They have no FACTORS in common other than 1
15 45
1 3
60 80
3 4
They have no FACTORS in common other than 1