A Fractions can be defined as any part of a whole number, a small part or even a piece or amount. A fraction is made up of a numerator and a denominator, where the numerator would tell us how many parts of the whole there are, a while the denominator would give us an idea of how many parts are in the whole.

Fractions

When and if the numerators are found to be smaller than the denominator then the fraction is considered to be a proper fraction.When and if the numerators are found to be greater than the denominators then the fraction is labelled as an improper fraction.When and if a fraction is accompanying a whole number then it is considered as a mixed number. In the recent past, the usage of fraction was done to describe shares of objects or group objects, but now these fractions have been replaced by decimals and the calculations are often completed with computers or calculators.

A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects and the parts have to be equal.

The general form of a fraction is a/b , where a and b are integers and b ? 0. Here a is called the numerator and b is called the denominator.

In the following figure, 4 out of 6 sectors are shaded. Hence the shaded region represents $\frac{4}{6}$.

Fraction with shaded region

Examples on Fractions

In the figure (i) $\frac{3}{7}$ is obtained when we divide a whole into 7 equal parts and take 3 parts of it.

Fraction Example

In figure (ii) $\frac{1}{8}$ we divide a whole into 8 equal parts and take 1 part out of it.

Dividing Fraction

Now, $\frac{5}{12}$ is a fraction and we read it as "five-twelfths", where 12 is number of parts into which a whole has been divided and 5 is number of equal parts which have been taken out.
Here 5 is called the Numerator and 12 is called the Denominator.