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# What is the ascending order of fractions?

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The ascending order of a group of fractions refers to putting the terms in order from lowest to greatest. The opposite of ascending is descending, which involves ordering the numbers from greatest to smallest.

## Keep Learning

In order to put fractions into ascending order, they must first be compared based on size. One way to do this is to compare the numerators directly after making both fractions have a common denominator. This can be done systematically until there are no more fractions in the group. An alternative method is to convert all the fractions to decimals to make comparing by inspection obvious. The numbers can then be converted back to fractions, if desired.

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## Related Questions

• A:

Fractions first appeared in the works of Egyptian mathematicians in the form of unit fractions, unlike the ratios used today. They did not enter Europe until the 17th century.

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Mixed numbers can be added either by first converting them to improper fractions and then adding, or by adding the fractional part and the whole-number part of the mixed numbers separately and carrying or regrouping as necessary. In either case, the fractions can only be added after a common denominator has been found.

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Examples of fractions less than one-half include, one-fourth, one-third, one-fifth and three-eighths. Any fraction that represents less than half of a whole is considered less than one-half.