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Comparing & Ordering Fractions
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Warm-Up: > is the ________ than symbol
9/17/15 & 9/18/15 Warm-Up: > is the ________ than symbol Compare these two fractions: ½___¼ Order from least to greatest: ⅝,⅛,⅞,⅜,⅔ _________________
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To compare fractions you can draw a picture or use the “Butterfly” method.
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Draw a picture Use >, <, or =. <
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Use >, <, or =. “Butterfly” method 9 < 10 <
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“Butterfly” method Use >, <, or =. 12 10 > >
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To order fractions you can draw a picture or use the Least Common Denominator (LCD).
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Order : least to greatest Draw a picture
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Order the fractions from least to greatest.
, ,
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One way to compare or order fractions is to express them with the same denominator.
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Any common denominator could be used
Any common denominator could be used. But the Least Common Denominator (LCD) makes the computation easier.
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The Least Common Denominator is the Least Common Multiple of the denominators.
LCD = LCM
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List the fractions in order from greatest to least.
Use LCD List the fractions in order from greatest to least.
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Step 1: Find the LCM of the denominators
Use LCD Step 1: Find the LCM of the denominators
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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
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6 21 36 36 20 24 36 36 Step 2: Write equivalent fractions. x 6 x 3 x 6
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Step 3: Compare the numerators
G L 21 6 36 36 24 20 36 36
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In order from greatest to least:
Use LCD In order from greatest to least:
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