Get papers sit down get out homework &quietly work on bellringer Simplify each fraction and find GCF

Get papers sit down get out homework &quietly work on bellringer Simplify each fraction and find GCF GCF= GCF=4 5 7 GCF=6

2-4 Comparing and Ordering Fractions c2

Comparing - Step 1 If the denominators are the same, then the fraction with the larger numerator is greater. 3/5 is greater than 2/5

Comparing - Step 1 If the numerators are the same, then the fraction with the lower denominator is greater. 1/8 is greater than 1/12 1/8 1/12

LCD Least Common Denominator The least common denominator is the least common multiple of the two numbers 10 is the LCM ; 3 ; 6 12 is the LCM

Comparing - Step 2 If the denominators and numerators are different, than a common denominator should be found.

Comparing - Step 2 If the denominators and numerators are different, than the least common denominator should be found.

Comparing - Step 2 If the denominators and numerators are different, than the least common denominator should be found. An easy way to do this is to find LCM using the ladder system x 2 x 5

Comparing - Step 2 If the denominators and numerators are different, than the least common denominator should be found. An easy way to do this is to find LCM using the ladder system x 2 x 5

Comparing - Step 3 Since a common denominator was found by LCM (using ladder system), the same number must be multiplied to the numerator x 2 x 5 x 2x The golden rule of fractions = whatever you do to the top, you do to the bottom.

Compare - Final Step Compare the new numerators and you will find the greater fraction. < 4 5

Ordering - Step 1 To order fractions, you must compare the fractions first. – Find a common denominator if needed – If more than 3 fractions are being compared: find a common multiple of all 3,or multiply all three numbers together – Multiply each numerator by the number you multiplied it by in the denominator.

Use the Ladder to Find Common Denominator  WRITE the three denominators on one line.  DRAW THE L SHAPE  DIVIDE out common prime numbers starting with the smallest (has to divide in to at least two of the numbers) -- if not divisible by the prime drop it down as is x 2 x 2 x 1 x1 = =

Ordering - Step 1 To order fractions, you must compare the fractions first ; 3 ; 6 3 x 3 = 9 4 x 3 = 12 2 x 4 = 8 3 x 4 = 12 5 x 2 = 10 6 x 2 = 12 Least Middle Greatest

Ordering - Step 2 Place fractions in order as needed (least to greatest or greatest to least) ; 4 ; 6 Least Middle Greatest 3 x 3 = 9 4 x 3 = 12 2 x 4 = 8 3 x 4 = x 2 = 10 6 x 2 = 12 Least to greatest order

Compare using less than (  ), greater than (  ), or equal to (=) Numerators and denominators are not the same, so find greatest common denominator Common Denominator 3 x 1 x 3 = 9 2 x 3 = 6 3 x 3 = 9 7 x 1 = 7 9 x 1 = 9 <

Compare using less than (  ), greater than (  ), or equal to (=) Order from least to greatest 2 3, 3 4, Numerators are the same, so the fraction with the smaller denominator is the greater fraction. > Denominators are the same, so the fraction with the larger numerator is the greater fraction. < Common Denominator 2 x 3 x 2 x 1 = 12

2 3, 3 4, ; 3 ; 4 Least Middle Greatest 2 x 4 = 8 3 x 4 = 12 3 x 3 = 9 4 x 3 = 12 1 x 6 = 6 2 x 6 = 12 Least to greatest order Common Denominator 12

1 2, 3 4, 1 3, Common Denominator 2 x 2 x 1 x 1 x 3 x 2= 24

1 x 12 = 12 2 x 12 = 24 3 x 6 = 18 4 x 6 = 24 1 x 8 = 8 3 x 8 = 24 8 x 3 = , 3 4, 1 3, Common Denominator ; 2 ; 4 ; 8 Least Greatest

Homework Pg 89 Pg 89 – #4-26 evens only (show your work)

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