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Naming Fractions

The system of naming fractions is based on the number of parts desired to the total equal parts.

For example, if there are 2 parts, and one of the two parts is selected, then we say that to be one-half. If 2 out of 3 parts are selected, we call that fraction “two-thirds”.

3 is read as “third”, 4 is read as “fourth”, and so on; where the denominator is read as an ordinal number.

Here are some of the most common fractions, and how to call them:

1/2 is one-half (we don’t say ‘2’ in the denominator as 2, but as half)

1/3 is one-third (as we saw above, 3 in the denominator is read as third)

1/4 is one-fourth

1/5 is one-fifth

1/6 is one-sixth

1/7 is one-seventh

1/8 is one-eigth

1/9 is one-ninth

1/10 is one-tenth, and so on

3/7 is read as three-seventh (or 3 out of 7)


The diagram below illustrates the same concept of naming fractions but through the method of shading parts of a shape, and naming the resultant fractions accordingly:

naming of fractions

Understanding Fractions

Types of Fractions