Answer
$ a.\quad$Improper fraction:$\displaystyle \quad\frac{6}{5} .$
$ b.\quad$Mixed number:$\displaystyle \quad 1\frac{1}{5}$
Work Step by Step
Each object is divided into $5$ equal parts.
Each part represents $\displaystyle \frac{1}{5}$ of the object.
Six parts in all are shaded, or $\displaystyle \frac{6}{5}$.
As a mixed number, we have 1 whole object and $\displaystyle \frac{1}{5}$ of the second one...or, $1\displaystyle \frac{1}{5}$ .
( Dividing $6\div 5$, quotient = $1$, remainder $1,$ so $\displaystyle \frac{6}{5}=1\frac{1}{5}$ )
