Fractions Packet - Examples And Worksheets With Answers Page 8

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Higher Equivalents
There are good reasons for knowing how to build fractions up to a larger form.
It is exactly the opposite of what we do in reducing. If reducing is done by
division, it makes sense that building up should be done by multiplication.
1
1
2
2
2
2
2
4
3
3
3
9
5
5
3
15
8
8
6
48
9
9
6
54
A fraction can be built up to an equivalent form by multiplying by any form of
one, any number over itself.
2
2
6
12
2
2
4
8
3
3
6
18
3
3
4
12
2
2
22
2
2
5
10
11
3
3
5
15
3
3
11
33
2
2
2
12
8
22
6
All are forms of
; all will reduce to
3
18
12
33
9
3
3
Comparing Fractions
Sometimes it is necessary to compare the size of fractions to see which is
larger or smaller, or if the two are equal. Sometimes several fractions must be
placed in order of size. Unless fractions have the same bottom number
(denominator) and thus parts of the same size, you can’t know for certain which
is larger or if they are equal.
2
5
Which is larger
? Who knows? A ruler might help, but rulers aren’t
or
3
6
usually graduated in thirds or sixths. Did you notice that if 3 were doubled, it
would be 6?
Fractions Packet
Created by MLC @ 2009 page 8 of 42

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