# Question #bf6ab

Apr 7, 2016

There is tradition to transform an improper fraction into a mixed form.
Example:
$\frac{28}{5} = 5 \frac{3}{5}$
But it's not compulsory. It all depends on the problem at hand.

#### Explanation:

Sometimes, it's more convenient to transform mixed fraction into improper form to perform intermediate calculations and then back to mixed fraction:
$\left(5 \frac{3}{5}\right) \cdot \left(2 \frac{2}{3}\right) = \frac{28}{5} \cdot \frac{8}{3} = \frac{28 \cdot 8}{5 \cdot 3} = \frac{224}{15} = 14 \frac{14}{15}$

It's not compulsory to convert a fraction into decimal format, but sometimes is desirable (not always possible to do it exactly, some approximation might be used):
$\frac{2}{3} \cong 0.67$

What is usually done and encouraged is reducing the fraction into smallest numbers in denominator and numerator possible:
$\frac{24}{16} = \frac{3}{2}$
This latter transformation is practically always performed, so you can consider it compulsory.