How do you order fractions from least to greatest?

Answer 1

ANSWER: 1. I find the easiest solution is to make all the fractions in your set have a common denominator. For example, if you must order 2/4, 1/8, and 3/16 from least to greatest (or vice versa), choose the smallest number that all of the fractions' denominators go into. In this case, that number is 16. 2. Now ask yourself, 4 x ? = 16? The answer is 4, and so both the denominator (4) and numerator (2) of that fraction are multiplied by 4. Doing this gives you the unsimplified fraction 8/16. 3. Now repeat Step 2 for 1/8. 8 x 2 = 16, and 1 x 2 = 2, so your new fraction is 2/16. 4. Now you can easily order your fractions from greatest to least: 2/4, 3/16, 1/8. Or, in unsimplified terms: 8/16, 3/16, 2/16. __________________________________________________________________________________

Answer 2

First, you must find the least common denominator (LCD) of the group of fractions. Then, you'll need to express them all in terms of this least common denominator. Once they are all in common terms, you'll be able to easily re-order them.

By example, 1/2 can be expressed in infinite ways: 2/4, 3/6, 4/8, etc. By re-writing the fractions with the same denominator, you can more easily compare them.

An easier way to accomplish this is to convert them to decimals.