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You can't, but you can put them into an order (not necessarily ascending), thanks to the denumerability of the set of rational numbers.
To do so, consider the following chart:
1/1 1/2 1/3 1/4 1/5 1/6 1/7 ...
2/1 2/2 2/3 2/4 2/5 2/6 2/7 ...
3/1 3/2 3/3 3/4 3/5 3/6 3/7 ...
4/1 4/2 4/3 4/4 4/5 4/6 4/7 ...
5/1 5/2 5/3 5/4 5/5 5/6 5/7 ...
6/1 6/2 6/3 6/4 6/5 6/6 6/7 ...
And so on ...
All we have to do now is start with zero and alternate negative and positive, starting in the upper-left corner and listing each diagonal.
The sequence goes:
0, 1, -1, 2, -2, 1/2, -1/2, 3, -3, 1, -1, 1/3, -1/3, ...
Notice there are some repeats because 1 = 2/2.
An easy fix to this problem is to omit the reducable fractions.
Voila! We have counted the rationals!
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Is there an easy way to arrange fractions in ascending order?
Not until you've put them all over a common denominator. From there on, it's a piece o' cake.
Put in order smallest first 6.6 2.9 3.4 5.8 3.1?
When the smallest value is then followed by higher values in order this is called "ascending order". In ascending order the values are : 2.9, 3.1, 3.4, 5.8, 6.6
Put these in ascending order 4.165 4165.0 41.65 0.4165 416.5?
0.41654.16541.65416.54165.0
Can Data can only be sorted in ascending order.?
No, it can be sorted either in ascending or descending order.
How do you put fractions in descending order?
Express all of them with a common denominator, then order them according to their numerators.
