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

$\frac{2}{3}$
$1\frac{3}{4} \div 2\frac{5}{8}$ First convert the mixed fractions into improper fractions $\frac{7}{4} \div \frac{21}{8}$ Change division to multiplication. Invert $\frac{21}{8}$ and write its reciprocal. $\frac{7}{4}$ * $\frac{8}{21}$ = $\frac{7*8}{4*21}$ = $\frac{56}{84}$ Since 28 is the greatest common factor of 56 and 84, divide numerator and denominator by 28 $\frac{2*28}{3*28}$ = $\frac{2}{3}$