**Question 6**:

$1\frac{1}{2}\xf7\frac{1}{4}\times \frac{4}{5}=$

**Solution**:$\begin{array}{l}1\frac{1}{2}\xf7\frac{1}{4}\times \frac{4}{5}\\ =\frac{3}{\overline{)2}}\times \frac{{\overline{)4}}^{2}}{1}\times \frac{4}{5}\\ =\frac{24}{5}\\ =4\frac{4}{5}\end{array}$

**Question 7**:

$4\frac{1}{5}\xf71\frac{1}{6}\times 2\frac{2}{9}=$

**Solution**:$\begin{array}{l}4\frac{1}{5}\xf71\frac{1}{6}\times 2\frac{2}{9}\\ =\frac{{\overline{)21}}^{\overline{)3}}}{\overline{)5}}\times \frac{{\overline{)6}}^{2}}{\overline{)7}}\times \frac{{\overline{)20}}^{4}}{{\overline{)9}}^{\overline{)3}}}\\ =8\end{array}$

**Question 8**:

$2\frac{3}{4}\times 1\frac{1}{3}\xf77\frac{1}{3}=$

**Solution**:$\begin{array}{l}2\frac{3}{4}\times 1\frac{1}{3}\xf77\frac{1}{3}\\ =\frac{11}{4}\times \frac{4}{3}\xf7\frac{22}{3}\\ =\frac{\overline{)11}}{\overline{)4}}\times \frac{\overline{)4}}{\overline{)3}}\times \frac{\overline{)3}}{{\overline{)22}}^{2}}\\ =\frac{1}{2}\end{array}$

**Question 9**:

$4\frac{5}{6}-2\frac{1}{3}\xf7\frac{5}{9}=$

**Solution**:$\begin{array}{l}4\frac{5}{6}-2\frac{1}{3}\xf7\frac{5}{9}\\ =4\frac{5}{6}-\left(\frac{7}{3}\xf7\frac{5}{9}\right)\\ =4\frac{5}{6}-\left(\frac{7}{\overline{)3}}\times \frac{{\overline{)9}}^{3}}{5}\right)\\ =4\frac{5}{6}-\frac{21}{5}\\ =4\frac{5}{6}-4\frac{1}{5}\\ =\frac{25}{30}-\frac{6}{30}\\ =\frac{19}{30}\end{array}$

**Question 10**:

$\left(\frac{7}{9}+\frac{11}{15}\right)\xf7\left(7\frac{8}{15}-4\frac{1}{5}\right)=$

**Solution**:$\begin{array}{l}\left(\frac{7}{9}+\frac{11}{15}\right)\xf7\left(4\frac{8}{15}-3\frac{1}{5}\right)\\ =\left(\frac{35}{45}+\frac{33}{45}\right)\xf7\left(4\frac{8}{15}-3\frac{3}{15}\right)\\ =\frac{68}{45}\xf71\frac{5}{15}\\ =\frac{68}{45}\xf71\frac{1}{3}\\ =\frac{68}{45}\xf7\frac{4}{3}\\ =\frac{{\overline{)68}}^{17}}{{\overline{)45}}^{15}}\times \frac{\overline{)3}}{\overline{)4}}\\ =\frac{17}{15}\\ =1\frac{2}{15}\end{array}$