$$( 11 ) \quad \frac { 3 } { 2 } \times ( \frac { 7 } { 5 } + \frac { 1 } { 2 } ) = \frac { 3 } { 2 } \times \frac { 7 } { 5 } + \frac { 3 } { 2 } \times \frac { 1 } { 2 }$$
$\text{false}$
$$\frac{11\times 3}{2}\left(\frac{7}{5}+\frac{1}{2}\right)=\frac{3}{2}\times \frac{7}{5}+\frac{3}{2}\times \frac{1}{2}$$
$$\frac{33}{2}\left(\frac{7}{5}+\frac{1}{2}\right)=\frac{3}{2}\times \frac{7}{5}+\frac{3}{2}\times \frac{1}{2}$$
$$\frac{33}{2}\left(\frac{14}{10}+\frac{5}{10}\right)=\frac{3}{2}\times \frac{7}{5}+\frac{3}{2}\times \frac{1}{2}$$
$$\frac{33}{2}\times \frac{14+5}{10}=\frac{3}{2}\times \frac{7}{5}+\frac{3}{2}\times \frac{1}{2}$$
$$\frac{33}{2}\times \frac{19}{10}=\frac{3}{2}\times \frac{7}{5}+\frac{3}{2}\times \frac{1}{2}$$
$$\frac{33\times 19}{2\times 10}=\frac{3}{2}\times \frac{7}{5}+\frac{3}{2}\times \frac{1}{2}$$
$$\frac{627}{20}=\frac{3}{2}\times \frac{7}{5}+\frac{3}{2}\times \frac{1}{2}$$
$$\frac{627}{20}=\frac{3\times 7}{2\times 5}+\frac{3}{2}\times \frac{1}{2}$$
$$\frac{627}{20}=\frac{21}{10}+\frac{3}{2}\times \frac{1}{2}$$
$$\frac{627}{20}=\frac{21}{10}+\frac{3\times 1}{2\times 2}$$
$$\frac{627}{20}=\frac{21}{10}+\frac{3}{4}$$
$$\frac{627}{20}=\frac{42}{20}+\frac{15}{20}$$
$$\frac{627}{20}=\frac{42+15}{20}$$
$$\frac{627}{20}=\frac{57}{20}$$
$$\text{false}$$
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