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!!