Fraction/Examples

Examples of Fractions

$(1): \quad \dfrac 1 2$ is a proper fraction.

$(2): \quad \dfrac 5 2$ is an improper fraction.

It can be expressed as a mixed fraction as follows:

$\dfrac 5 2 = \dfrac {4 + 1} 2 = \dfrac 4 2 + \dfrac 1 2 = 2 \frac 1 2$

$(3): \quad \dfrac {24} {36}$ is a proper fraction, although not in canonical form.

It is found that when $\dfrac {24} {36}$ is expressed in canonical form:

$\dfrac {24} {36} = \dfrac {12 \times 2} {12 \times 3} = \dfrac 2 3$

its denominator is not $1$.

Hence $\dfrac {24} {36}$ is indeed a vulgar fraction.