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

-$\frac{1}{10}$
To divide fractions multiply by the reciprocal of the divisor. Dividing two numbers with opposite signs makes a negative quotient. Reduce fractions by taking out common factors of the numerators and denominators. -$\frac{5}{16}$$\div$$\frac{25}{8}$=-$\frac{5}{16}$($\frac{8}{25}$)=-$\frac{1}{16}$($\frac{8}{5}$)=-$\frac{1}{2}$($\frac{1}{5}$)=-$\frac{1\times1}{2\times5}$=-$\frac{1}{10}$