Question

$\frac{24}{15} -(2-1\frac{1}{15}):\frac{4}{9}+\frac{11}{2}$

Answer 1

$\displaystyle \tt \frac{24}{15}-(1\frac{15}{15}-1\frac{1}{15})\cdot \frac{9}{4}+\frac{11}{2}=\frac{24}{15}-\frac{14}{15}\cdot \frac{9}{4}+\frac{11}{2}=\frac{24}{15}-\frac{21}{10}+\frac{11}{2}=\frac{48}{30}-\frac{63}{30}+\frac{165}{30}=-\frac{15}{30}+\frac{165}{30}=\frac{150}{30}=\fbox{\textbf{5}}$