Answer
Sum of a rational number and an integer is called a mixed number.
A rational number in which numerator is greater than the denominator is called an improper fraction.
A mixed number of type \[a\frac{b}{c}\] can be converted into an improper fraction as follows:
\[a\frac{b}{c}=\frac{a\cdot c+b}{c}\]
Thus, the problem is solved as follows:
\[\begin{align}
& 7\frac{2}{3}=\frac{7\cdot 3+2}{3} \\
& =\frac{21+2}{3} \\
& =\frac{23}{3}
\end{align}\]
