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Comparing & Ordering Fractions
Locate positive rational numbers on a number line Compare positive rational numbers represented in various forms. Use the symbols <, >, and = Convert between equivalent representation of positive rational numbers
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I can… Compare and order fractions Self Assessment
5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.
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Comparing Fractions draw a picture “Butterfly” method
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Draw a picture Use >, <, or =. <
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“Butterfly” method Use >, <, or = 9 < 10 <
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“Butterfly” method Use >, <, or = 12 10 > >
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Your Turn… What fraction is greater than ¾? 7/12 5/8 2/3 7/9
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Order Fractions Draw Picture (Be Careful) Use Number Line
Find Common Denominator
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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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Finding Fractions on a Number Line
We can use number lines to help us order fractions. Let’s practice!
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Finding Fractions on a Number Line
This number line breaks one whole into fourths. Where would ¼ be on the number line? What about 4/4?
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Finding Fractions on a Number Line
How many sections does this number line break one whole into? Can you locate where 1/8 would be? Name a fraction in eighths that is between ½ and ¾.
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Another way to compare or order fractions is to express them with the same denominator.
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List the fractions in order from greatest to least.
Use Common Denominators List the fractions in order from greatest to least.
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Step 1: Find a common multiple of the denominators
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Common multiple = 36 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 …
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Step 2: Write equivalent fractions using common multiple
x 6 6 21 x 3 36 36 x 6 x 3 x 4 20 24 x 12 36 36 x 4 x 12
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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:
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Your Turn… Order these fractions from least to greatest: 7/9 5/6 2/3 1/2
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Your Turn… 7/9 = 14/18 5/6 = 15/18 2/3 = 12/18 1/2 = 9/18
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Your Turn… Original fractions ordered from least to greatest: 1/2, 2/3, 7/9, 5/6
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Your Turn…
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I can… Compare and order fractions Self Assessment
5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.
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Daily Check 5.5 in your math notebook
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