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Arrange Fractions from Smallest to Largest











































Comparing and Ordering Fractions

Are the following fractions placed in the order of the smallest to the largest?

1/6, 1/4, 1/3, 1/2, 2/3, 3/4, 5/6

Comments for Arrange Fractions from Smallest to Largest

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Feb 08, 2013
Ordering Fractions
by: Staff


Answer

Yes. The seven fractions in the problem statement are properly arranged from least to greatest.


There are three good ways to help you arrange any fractions from least to greatest:

1. Rewrite all fractions so that they each have the same denominator

2. Change all fractions into their decimal equivalent.

3. Plot the fractions on a number line



-----------------------------

1. Rewrite all of the fractions so that they each have the same denominator
(just as you would if you were adding or subtracting the fractions)


1/6, 1/4, 1/3, 1/2, 2/3, 3/4, 5/6

(1/6) × (2/2) = 2/12

(1/4) × (3/3) = 3/12

(1/3) × (4/4) = 4/12

(1/2) × (6/6) = 6/12

(2/3) × (4/4) = 8/12

(3/4) × (3/3) = 9/12

(5/6) × (2/2) = 10/12

when the fractions all have the same denominator, they can easily be arranged from least to greatest

2/12, 3/12, 4/12, 6/12, 8/12, 9/12, 10/12

Therefore:

1/6, 1/4, 1/3, 1/2, 2/3, 3/4, 5/6


2. Change all fractions into their decimal equivalent.

(1/6) = 0.1666666667

(1/4) = 0.25

(1/3) = 0.3333333333

(1/2) = 0.5

(2/3) = 0.6666666667

(3/4) = 0.75

(5/6) = 0.8333333333

the decimal values can easily be arranged from least to greatest

0.1666666667, 0.25, 0.3333333333, 0.5, 0.6666666667, 0.75, 0.8333333333

Therefore:

1/6, 1/4, 1/3, 1/2, 2/3, 3/4, 5/6


3. Plot the fractions on a number line



Ordering Fractions-from Smallest to Largest









Thanks for writing.

Staff
www.solving-math-problems.com

Feb 13, 2017
smallest to largest NEW
by: Anonymous

1/2,2/5,1/4,9/10

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