Comparing & Ordering Fractions 6.1.1.1 Locate positive rational numbers on a number line 6.1.1.2 Compare positive rational numbers represented in various forms. Use the symbols <, >, and = 6.1.1.7 Convert between equivalent representation of positive rational numbers

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.

Comparing Fractions draw a picture “Butterfly” method

Draw a picture Use >, <, or =. <

“Butterfly” method Use >, <, or = 9 < 10 <

“Butterfly” method Use >, <, or = 12 10 > >

Your Turn… What fraction is greater than ¾? 7/12 5/8 2/3 7/9

Order Fractions Draw Picture (Be Careful) Use Number Line Find Common Denominator

Order : least to greatest Draw a picture

Order the fractions from least to greatest. , ,

Finding Fractions on a Number Line We can use number lines to help us order fractions. Let’s practice!

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?    

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.      

Another way to compare or order fractions is to express them with the same denominator.

List the fractions in order from greatest to least. Use Common Denominators List the fractions in order from greatest to least.

Step 1: Find a common multiple of the denominators

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 …

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

Step 3: Compare the numerators G L 21 6 36 36 24 20 36 36

In order from greatest to least:

Your Turn… Order these fractions from least to greatest: 7/9 5/6 2/3 1/2

Your Turn… 7/9 = 14/18 5/6 = 15/18 2/3 = 12/18 1/2 = 9/18

Your Turn… Original fractions ordered from least to greatest: 1/2, 2/3, 7/9, 5/6

Your Turn…    

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.

Daily Check 5.5 in your math notebook