Comparing and Ordering Fractions

Comparing and Ordering Fractions Please order these fractions from

greatest to least.

•2/3•1/8•2/6

ObjectiveCompare and order fractions.

Comparing Two Fractions

32

43

32

43

32

43

8 9

8

8 ___ 9

8 ___ 9

So,

<

32

43

<

Let’s Practice! http://

www.xpmath.com/forums/arcade.php?do=play&gameid=8

Finding Fractions on a Number Finding Fractions on a Number LineLine

We can use We can use number lines to number lines to help us order help us order fractions.fractions.

Let’s practice!Let’s practice!

Finding Fractions on a Number Finding Fractions on a Number LineLine

This number line breaks one whole This number line breaks one whole into fourths.into fourths.

Where would ¼ be on the number Where would ¼ be on the number line?line?

What about 4/4?What about 4/4?

Finding Fractions on a Number Finding Fractions on a Number LineLine

How many sections does this number How many sections does this number line break one whole into?line break one whole into?

Can you locate where 1/8 would be?Can you locate where 1/8 would be? Name a fraction in eighths that is Name a fraction in eighths that is

between ½ and ¾.between ½ and ¾.

Finding Fractions on a Number Finding Fractions on a Number LineLine

What does this number line show?What does this number line show? Where would 7/9 be?Where would 7/9 be? What fraction is between 1/9 and What fraction is between 1/9 and

2/9?2/9?

Finding Fractions on a Number Finding Fractions on a Number LineLine

How would you explain this number How would you explain this number line using words?line using words?

Can you find 3/5?Can you find 3/5? Can you mark a fraction larger than Can you mark a fraction larger than

4/5 on the number line?4/5 on the number line?

Finding Fractions on a Number Finding Fractions on a Number LineLine

What type of number line is this?What type of number line is this? Can you order 5/8, ¼, 2/3, and 3/16 Can you order 5/8, ¼, 2/3, and 3/16

on this number line?on this number line?

Which fraction is Which fraction is closest to 3/10?closest to 3/10?

33//55 11//66 33//1515 22//33

Can you Can you explain why?explain why?

The Answer!The Answer!3/10 = 9/303/10 = 9/30

3/5 = 18/303/5 = 18/301/6 = 5/301/6 = 5/303/15 = 6/303/15 = 6/302/3 = 20/302/3 = 20/30

Mini-QuizMini-Quiz Which fraction is between ¼ and ½ Which fraction is between ¼ and ½

on a number line?on a number line?A.A. 3/53/5B.B. 2/102/10C.C. 9/169/16D.D. 3/83/8

Ordering Ordering FractionsFractions

1.1. UseUse the LCM to find a common the LCM to find a common denominator.denominator.

2.2. FindFind equivalent fractions using the equivalent fractions using the common denominator.common denominator.

3.3. ListList the new fractions from least to the new fractions from least to greatest.greatest.

4.4. ListList the original fractions from least the original fractions from least to greatest.to greatest.

Order these fractions from Order these fractions from least to greatest:least to greatest:

7/97/95/65/62/32/31/21/2

7/9 = 14/187/9 = 14/185/6 = 15/185/6 = 15/182/3 = 12/182/3 = 12/18½ = 9/18½ = 9/18

Ordered from least Ordered from least to greatest:to greatest:

9/189/1812/1812/1814/1814/1815/1815/18

Original fractions ordered Original fractions ordered from least to greatest:from least to greatest:

1/2, 2/3, 7/9, 5/61/2, 2/3, 7/9, 5/6

What fraction is greater than What fraction is greater than ¾?¾?

7/127/125/85/82/32/37/97/9

Web practice activity!Web practice activity!– Balloon Pop Fractions

Are You Stuck?Are You Stuck?1.1. FindFind a common denominator a common denominator2.2. ConvertConvert to decimals to decimals

– Divide numerator by Divide numerator by denominatordenominator

3.3. Draw Draw and use a number lineand use a number line4.4. DrawDraw pictures of the fraction pictures of the fraction

CSM WorkoutsCSM Workouts Comparing FractionsComparing Fractions

– http://www.commonsensemath.com/school/lessonsoverview/lessons.php?id=32