# Math Is Fun Forum

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## #1 2009-03-16 11:25:18

patsy
Guest

### putting fractions in order

we are trying to figure out how to put fractions in order from lowest to highest.  Example: 9/2, 11/4,  3 7/8.

## #2 2009-03-16 11:33:57

luca-deltodesco
Member
Registered: 2006-05-05
Posts: 1,470

### Re: putting fractions in order

to put them in order, make them all into single fractions with the same denominator, so in your example:

from which you can now easily put them in order

Last edited by luca-deltodesco (2009-03-16 11:34:09)

The Beginning Of All Things To End.
The End Of All Things To Come.

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## #3 2010-11-14 10:06:33

arrianafeliz
Guest

### Re: putting fractions in order

how do you put fractions in order like these ones 1\3 1\4 1\6javascript:insert_text('',%20'');

## #4 2010-11-14 10:10:20

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: putting fractions in order

Hi arrianafeliz;

Easy, do you see the ones with the biggest numbers on the bottom, they are the smallest.

1 / 2 is bigger than 1 / 3 which is bigger than 1 / 6.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #5 2010-11-21 01:17:31

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

### Re: putting fractions in order

Also don't forget that fractions is the same thing as long division, except fractions don't
have repeating decimals that go on and on and on.  But anyway, you can
check your answers for fun by doing long division to convert the fractions
into numbers with decimal places.  As an example, I will convert 1/3 into a decimal.
Put the denominator as your divisor, that means we divide 1 by 3.  Here we go:
_________
3 ) 1.0000

__0.3_______
3 ) 1.0000
9
-----
10

__0.33______
3 ) 1.0000
9
-----
10
9
----
10

Every time you subtract 9 from 10 and get 1, and carry down the 0.
Then it does the same thing again.  3 goes into 10, 3 times with a remainder of 1.
So you can divide this all day long and you get:  1/3 = 0.333333333333333333333
The end.
________
Now let's pretend you also did 1/2 = 0.5  by doing 2 ) 1
Then you learn that 0.5 is bigger than 0.33333, just by putting them in
alphabetical order.
The end.

Last edited by John E. Franklin (2010-11-21 01:18:04)

igloo myrtilles fourmis

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## #6 2010-11-21 02:45:11

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

### Re: putting fractions in order

There's a fairly easy test to see which of two fractions is bigger.

Multiply the top of each fraction by the bottom of the other one.
The fraction that contributed its top to the smaller result is the smaller fraction.

For example, which is smaller, 3/14 or 2/9?

To work this out, work out which is the smaller of 3x9 and 14x2.

3x9 = 27.
14x2 = 28.

27 is smaller, and the 3/14 contibuted its top to that result, so 3/14 is smaller than 2/9.

Why did the vector cross the road?
It wanted to be normal.

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## #7 2010-11-21 06:46:48

soroban
Member
Registered: 2007-03-09
Posts: 452

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