Fractions Packet - Examples And Worksheets With Answers Page 28
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42Getting equivalent Fractions and Reducing Fractions
Once we have found the LCD for a set of fractions, the next step is to change
each fraction to one of its equivalents so that we may add or subtract it.
An equivalent fraction has the same value as the original fraction…it looks a
little different!
Here are some examples of equivalent fractions:
1
2
1
3
1
4
1
5
…etc.
2
4
2
6
2
8
2
10
2
4
2
6
2
8
2
10
…etc.
3
6
3
9
3
12
3
15
equivalent fraction
An
is obtained by multiplying both the numerator and
denominator of the fraction by the same number. This is called BUILDING.
Here are some examples:
5x3
15
5 and 8 were both multiplied by 3
8x3
24
7x2
14
7 and 12 were both multiplied by 2
12x2
24
1x17
17
1 and 3 were both multiplied by 17
3x17
51
Note: the numbers used to multiply look like fraction versions of 1.
equivalent fraction
An
can also obtained by dividing both the numerator and
denominator of the fraction by the same number. This is called REDUCING.
Here are some more examples:
10
2
5
10 and 12 were both divided by 2
12
2
6
8
4
2
8 and 12 were both divided by 4
12
4
3
200
25
8
200 and 225 were both divided by 25
225
25
9
Fractions Packet
Created by MLC @ 2003 page 28 of 42
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