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Equivalent Fractions

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Equivalent Fractions Fractions are equivalent (equal) if they have the same value We could change them to decimals to see if they are equal or leave them as fractions – PowerPoint PPT presentation

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Title: Equivalent Fractions


1
Equivalent Fractions
Fractions are equivalent (equal) if they have the
same value
We could change them to decimals to see if they
are equal or leave them as fractions
2
We know that we can multiply or divide by 1 and
the number stays the same
Since
1
We can multiply or divide any fraction by these
and the fraction keeps its value
3
?



4
What if we have 2 fractions like
Why might we want them to have the same
denominator?
to compare
to add or subtract
5
We need to find a common denominator
? 5
? 8
? 8
? 5
6
There are many common denominators, but only one
is the smallest
? 6
? 8
? 8
? 6
Is there a smaller denominator we could use?
Yes, 24!
7
What we are doing is looking at the multiples of
numbers
The multiples of 6 are
6, 12, 18, 24, 30, 36, 42, 48 and so on
The multiples of 8 are
8, 16, 24, 32, 40, 48 and so on
Both 24 and 48 are common, but 24 is the least
8
Remember! You CANT have a Greatest Common
Multiple! Why not?
9
Lets compare some fractions
Which is larger,
What is the LCD?
Yes, 24
10
Compare these
The multiples of 16 are 16, 32, 48, 64, 80
The multiples of 12 are 12, 24, 36, 48, 60
11
Lets practice on whiteboards!
12
Another way of using equivalent fractions is to
put fractions in simplest form or lowest terms
Would this fraction be easier to understand if
the numbers were smaller?
13
We know we can divide both the numerator and
denominator by the same number and get an
equivalent fraction
14
2
6
Sure, there are many, but lets try 6


2
6
Now 2
What number goes into both 36 and 96?
15
12
We could have done this in one step if we had
used the GCF of 36 and 96

12
12
The GCF of 36 and 96 is
16
Practice
17
We can also multiply the numerator and
denominator by the same number
? 2

? 2
Why would we want to do that?
18
? 2
? 3


? 2
? 3
Can you think of reasons why we might want the
same denominators?
More on this next lesson?
19
Practice
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