Final Answer:
1) $\frac{11}{8} \div \frac{2}{4} = \frac{11}{4}$
2) $\frac{\frac{1}{5}}{\frac{1}{8} + \frac{1}{6}} = \frac{24}{55}$
3) $\frac{\frac{11}{3} \cdot \frac{6}{c}}{c^2} = \frac{22}{c^3}$
4) $\frac{9}{\frac{8}{9} + \frac{9}{4}} = \frac{324}{113}$
5) $\frac{\frac{1}{4} \cdot \frac{6}{d^2 - \frac{5}{4}}}{ } = \frac{6}{4d^2 - 5} = \frac{3}{2d^2 - \frac{5}{2}}$ → better written as $\frac{6}{4d^2 - 5}$
6) $\frac{\frac{11}{6} + \frac{5}{6}}{6} = \frac{16}{36} = \frac{4}{9}$
7) $\frac{\frac{3}{2} \cdot \frac{3}{5}}{5} = \frac{9}{50}$
8) $\frac{9}{\frac{4}{7q} + \frac{7}{q}} = \frac{63q}{53}$
9) $\frac{8}{\frac{11}{8} + \frac{1}{8}} = \frac{16}{3}$
10) $\frac{h^2 + \frac{5}{8}}{\frac{11}{8} \cdot \frac{h+3}{9}} = \frac{72h^2 + 45}{11(h+3)}$
Parent Tip: Review the logic above to help your child master the concept of complex fractions worksheet with answers.
