Answer
$\frac{2}{3}$
Work Step by Step
$1\frac{3}{4} \div 2\frac{5}{8}$
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
$\frac{2*28}{3*28}$ = $\frac{2}{3}$
