### Theory:

Mixed fractions contain a whole number and a proper fraction. They can also be represented as an improper fraction.
Example:
$3\frac{4}{5}$; where $$3$$ is a whole numberand $$4/5$$ is a proper fraction.
Converting mixed fraction to improper fraction:
To convert a mixed fraction to improper fraction, the following steps are to be followed.

Step 1: Multiply the denominator of the proper fraction and whole number and add it with the numerator of the fraction to get the numerator of the improper fraction.

Step 2: Denominator of an improper fraction is the same as the denominator of a mixed fraction.
Example:
Convert $3\frac{4}{5}$ to an improper fraction.

Step 1: Numerator of improper fraction $$=$$ (denominator of the proper fraction $$×$$ whole number) $$+$$ numerator of a proper fraction.

$$= 5 × 3 = 15 + 4 = 19$$.

Step 2: Denominator of improper fraction $$=$$ denominator of the mixed fraction.

The denominator of improper fraction $$= 5$$.

Improper fraction $$= 19 / 5$$.

Thus, $3\frac{4}{5}$ $$= 19 / 5$$.