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Make a number line! Make
the largest number 1 and the
smallest number 1/18
Fractions which have the same value, even
though they may look different.
Write two equivalent fractions for every
fraction on your number line.
Use this website to help…
http://www.mathsisfun.com/numbers/fracti
on-number-line.html
When we order numbers, we can do this fairly
easily. We look at them and place them in order
from least to greatest.
50 9
6
7
12
24
When we order fractions with a common
denominator, we order them the same way. We
look at the numerator (the top number) and place
the numbers in order from least to great.
Order the following fractions
4/5
9/5 1/5 3/5
When we compare numbers, we use the “alligator mouth
method, where the alligator’s mouth will always go towards
the greater number.
22.2
20.9
When we compare fractions with common denominators,
we use the same method. We look at the numerator then
place the >. <, or = symbol.
3/9
5/9
To compare fractions you
can draw a picture or use
the “Butterfly” method.
Draw a picture
3
4
Use >, <, or =.
<
5
6
“Butterfly”
method
Use >, <, or =.
9
<
3
5
<
10
2
3
“Butterfly”
method
Use >, <, or =.
12
3
10
>
>
10
1
4
To order fractions you
can draw a picture or
use the Least Common
Denominator (LCD).
Draw a picture
Order :
least to greatest
3
4
1
2
5
6
Order the fractions from
least to greatest.
1
2
3
5
,
,
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

6 x 6 36
5 x 4 20

9 x 4 36
7 x 3 21

12 x 3 36
2x 12 24

3x 12 36
Step 3:
Compare the
numerators
1 6

6 36
5 20

9 36
G
7 21
 36
12
2 24
 36
3
L
Use LCD
In order from
greatest to least:
2 7 5 1
, , ,
3 12 9 6