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Comparing & Ordering Fractions. Key Terms. Greater Than أكبر من. Fraction كسر. Ascending تصاعدي. Less Than أقل من. Descending تنازلي. Equal ﻳﺴﺎوي. Numerator اﻟﺒﺴﻂ. Least Common Denominator (LCD) مشترك اصغرقاسم.
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Comparing & Ordering Fractions
Key Terms Greater Than أكبر من Fraction كسر Ascending تصاعدي Less Than أقل من Descending تنازلي Equal ﻳﺴﺎوي Numerator اﻟﺒﺴﻂ Least Common Denominator (LCD) مشتركاصغرقاسم Denominator قاسم
Tocompare (قارن) fractions you can draw a picture or use the “Butterfly” method.
Draw (رسم ) a picture Use >, <, or =. <
“Butterfly” method Use >, <, or =. 9 < 10 <
“Butterfly” method Use >, <, or =. 12 10 > >
To order (النظام) fractions you can draw a picture or use the Least Common Denominator (LCD).
Draw a picture Ascending Order: least to greatest
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 Descending Order (from greatest to least).
Find the LCD Step 1: Find the LCM of the denominators
Find the LCD: 6: 6, 12, 18, 24, 30, 36, 42, 48… 12: 12, 24, 36, 48 … 9: 9, 18, 27, 36, 45 … 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 … LCD = 36
Step 2: Write equivalent fractions. x 6 6 21 x 3 36 36 x 6 x 3 x 4 20 24 x 12 36 36 x 4 x 12
Step 3: Compare the numerators G L 21 6 36 36 24 20 36 36
Descending Order In order from greatest to least Now you’re ready!!