## Thinking Mathematically (6th Edition)

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}