Question

Which set of fraction is ordered from least too greatest

Answer 1

Find a common denominator for all the fractions. Use one of these methods to find a denominator, or lower number of a fraction, that you can use to rewrite every fraction in the list, so you can easily compare them. This is called a common denominator, or the lowest common denominator if it is the lowest one possible:[1]

Multiply every different denominator together. For example, if you are comparing 2/3, 5/6, and 1/3, multiply the two different denominators: 3 x 6 = 18. This is a simple method, but will often result in a much larger number than the other methods, which can be difficult to work with.

Or list the multiples of each denominator in a separate column, until you notice a number that shows up on every column. Use this number. For example, comparing 2/3, 5/6, and 1/3, list a few multiples of 3: 3, 6, 9, 12, 15, 18. Then list the multiples of 6: 6, 12, 18. Since 18 shows up on both lists, use that number. (You could also use 12, but the examples below will assume you are using 18.)