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:
is one-half (we don’t say ‘2’ in the denominator as 2, but as half)
is one-third (as we saw above, 3 in the denominator is read as third)
is one-tenth, and so on
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: