Q:

What is the ascending order of fractions?

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Quick Answer

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.

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Full Answer

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

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    Who discovered fractions?

    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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    How do you add mixed numbers?

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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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    What fractions are less than one half?

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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.

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    How do you simplify improper fractions?

    A:

    Improper fractions are those in which the numerator (top number) is larger than the denominator (bottom number). According to Math is Fun, improper fractions are better for use in mathematical formulae, but mixed fractions are better for understanding and spoken language. When dealing with formulae or math operations, wait until you have made all the other manipulations before converting a fraction to a mixed number for your final answer.

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