$$\frac { 7 } { 9 } \times 1 \frac { 1 } { 5 } \div \frac { 8 } { 15 }$$
$\frac{7}{4}=1.75$
$$\frac{\frac{7}{9}\times \frac{5+1}{5}}{\frac{8}{15}}$$
$$\frac{\frac{7}{9}\times \frac{6}{5}}{\frac{8}{15}}$$
$$\frac{\frac{7\times 6}{9\times 5}}{\frac{8}{15}}$$
$$\frac{\frac{42}{45}}{\frac{8}{15}}$$
$$\frac{\frac{14}{15}}{\frac{8}{15}}$$
$$\frac{14}{15}\times \frac{15}{8}$$
$$\frac{14\times 15}{15\times 8}$$
$$\frac{14}{8}$$
$$\frac{7}{4}$$
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$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$