Fractions Packet - Examples And Worksheets With Answers Page 16
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42ORDERING
Fractions
Being able to place numbers in order (smallest to largest or largest to smallest)
is fundamental to the understanding of mathematics. In these exercises we will
learn how to order fractions.
Ordering Fractions
There are several ways to order fractions. One way is to use common sense.
This method can be simple but requires some general knowledge. If nothing
else, it can be used as a starting point to finding the necessary order.
Take a look at the following examples:
Ex. Place the following fractions from smallest to largest order
1
1
1
,
,
3
5
2
The larger the number on the bottom of a fraction (assuming the numerator is
the same for all the fractions), the smaller the fraction is. In the above
1
example,
is the smallest fraction because the 5 is the largest denominator.
5
1
Next in order would be the
because the 3 is the next largest denominator.
3
1
This leaves the
, which has the smallest denominator. Therefore, the order
2
for these fractions is:
1
1
1
,
,
5
3
2
Ex. Place the following fractions from smallest to largest
3
2
5
,
,
5
3
6
5
. But the student should ask, “Is this the
The larger bottom number here is the 6 in
6
smallest fraction?” By inspection, it does not seem to be. But with fractions of this sort
(different numerators), students run into the most problems when ordering.
Fractions Packet
Created by MLC @ 2009 page 16 of 42
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