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. 3/53/5
B.B. 2/102/10
C.C. 9/169/16
D.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
Are You Stuck?Are You Stuck?1.1. FindFind a common denominator a common denominator
2.2. ConvertConvert to decimals to decimals– Divide numerator by Divide numerator by
denominatordenominator
3.3. Draw Draw and use a number lineand use a number line
4.4. DrawDraw pictures of the fraction pictures of the fraction