# comparing ordering fractions 4th grade

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```					Objectives
TSW compare and fractions with like and
unlike denominators using fraction pieces,
drawings, and the butterfly method.

I can compare and order fractions with
like and unlike denominators.
Important Words
Numerator
Denominator
Like
Unlike
To compare fractions you
can draw a picture or use
the “Butterfly” method.
Draw a picture       Use >, <, or =.

3    <   5
4        6
Comparing with like denominators
3    2          1     4          2       1
7    7          6     6          3       3

You have to look at the parts and find
which one is bigger.
“Butterfly” method       Use >, <, or =.
9       <    10
3            2
<
5            3
“Butterfly” method       Use >, <, or =.
12      >    10
3            1
>
10            4
Lesson 2
To order fractions you
can draw a picture or
use the Least Common
Denominator (LCD).
Order :
Draw a picture   least to greatest
3
4
1
2
5
6
Order the fractions from
least to greatest.
1     3   5
,   ,
2     4   6
One way to compare or
order fractions is to
express them with the
same denominator.
Any common denominator
could be used. But the
Least Common
Denominator (LCD)
makes the computation
easier.
The Least Common
Denominator is the
Least Common Multiple
of the denominators.
LCD = LCM
Use LCD
List the fractions in order
from greatest to least.
1 7 5 2
, , ,
6 12 9 3
Use LCD
Step 1: Find the
LCM of the
denominators
1 7 5 2
, , ,
6 12 9 3
Find the
LCD:
6, 12, 18, 24, 30, 36, 42, 48…
12, 24, 36, 48 …
9, 18, 27, 36, 45 …
3, 6, 9, 12, 15, 18, 21, 24,
27, 30, 33, 36 …
LCD = 36
Step 2: Write
equivalent
fractions. x 6
1 6         7 x 3 21
          
6 x 6 36   12 x 3 36
5 x 4 20   2x 12 24
          
9 x 4 36   3x 12 36
Step 3:
Compare the          G   L
numerators
1 6     7 21
          36
6 36   12
5 20   2 24
         36
9 36   3
Use LCD

In order from
greatest to least:

2 7 5 1
, , ,
3 12 9 6

```
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