## Introductory Algebra for College Students (7th Edition)

Dividing the numerator with the denominator (with remainders), we obtain $\text{(number of units)}$+$\displaystyle \frac{\text{remainder}}{\text{denominator}},$ which we write as a mixed number.
An improper fraction has the numerator greater than the denominator. Dividing the numerator with the denominator (with remainders), we obtain $\text{(number of units)}$+$\displaystyle \frac{\text{remainder}}{\text{denominator}},$ which we write as a mixed number. Examples: For $\displaystyle \frac{25}{2},$ we divide 25$\div$2 to obtain quotient 12, remainder 1, and we write $\displaystyle \frac{25}{2}=12\frac{1}{2}$ For $\displaystyle \frac{37}{5},$ we divide $37\div 5$ to obtain quotient $7$, remainder $2$, and we write $\displaystyle \frac{37}{5}=7\frac{2}{5}$