To compare fractions you can draw a picture or use the “Butterfly” method.
< Draw a picture Use >, <, or =.
910< < “Butterfly” method
Use >, <, or = > > “Butterfly” method
To order fractions you can draw a picture or use the Least Common Denominator (LCD).
Draw a picture Order : least to greatest
Order the fractions from 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 order from greatest to least.
Use LCD Step 1: Find the LCM of the denominators
6, 12, 18, 24, 30, 36, 42, 48… LCD = 36 Find the LCD: 12, 24, 36, 48 … 9, 18, 27, 36, 45 … 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 …
Step 2: Write equivalent fractions. 36 x x x x 12 24
G L Step 3: Compare the numerators
Use LCD In order from greatest to least: