Key TermsKey TermsFraction كسر
Ascending تصاعدي
Numerator البسط
Descending تنازلي
Denominator قاسم
Greater Than أكبرمنLess Than أقل منEqual يساويLeast Common Denominator (LCD)اصغرقاسم مشترك
To compare (قارن) fractions you can draw a picture or
use the “Butterfly” method.
43
65<
Draw (رسم ) a pictureUse >, <, or =.
Use >, <, or =.
53
32
9 10<
<
“Butterfly” method
Use >, <, or =.
103
41
12 10>
>
“Butterfly” method
To order (النظام) fractions you can draw a picture or use the Least Common Denominator
(LCD).
43
65
Draw a pictureAscending Order: least to greatest
21
43
21
65
Put the fractions in Ascending Order.
, ,
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 LCDList the fractions in Descending Order (from greatest to least).
32,
95,
127,
61
Find the LCD
Step 1: Find the LCM of the denominators
32,
95,
127,
61
6: 6, 12, 18, 24, 30, 36, 42, 48…
LCD = 36
Find the LCD:
12: 12, 24, 36, 48 …9: 9, 18, 27, 36, 45 …
3: 3, 6, 9, 12, 15, 18, 21, 24,
27, 30, 33, 36 …
Step 2: Write equivalent fractions.
61
36x 6
x 6 6 127
36x 3
x 3 21
95
36x 4
x 4 20 32
36x 12
x 1224
G LStep 3: Compare the numerators
61
36 6
127
3621
95
3620
32
3624
Descending Order In order from greatest to
least
61,
95,
127,
32
Now you’re
ready!!