Answer
-$\frac{9}{40}$
Work Step by Step
-$\frac{9}{4}$($\frac{1}{2}$)+$\frac{3}{4}$$\div$$\frac{5}{6}$
First change the division to multiplication of the reciprocal
-$\frac{9}{4}$($\frac{1}{2}$)+$\frac{3}{4}$$\times$$\frac{6}{5}$
Then multiply both sets of fractions
-$\frac{9}{8}$+$\frac{18}{20}$
Then make both fractions have the least common denominator of 40
-$\frac{9(5)}{8(5)}$+$\frac{18(2)}{20(2)}$
-$\frac{45}{40}$+$\frac{36}{40}$
Then add
-$\frac{9}{40}$
