(7) $$ \left(2 \frac{2}{3}\right)^{2} \div 1 \frac{15}{17} $$

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Calculate or simplify the expression $$ (2+2/3)^2 / (1+15/17) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(2+\frac{2}{3}ight)^{2}}{\left(1+\frac{15}{17}ight)}$$
- step1: Remove the parentheses:
  $$\frac{\left(2+\frac{2}{3}ight)^{2}}{1+\frac{15}{17}}$$
- step2: Add the numbers:
  $$\frac{\left(\frac{8}{3}ight)^{2}}{1+\frac{15}{17}}$$
- step3: Add the numbers:
  $$\frac{\left(\frac{8}{3}ight)^{2}}{\frac{32}{17}}$$
- step4: Evaluate the power:
  $$\frac{\frac{64}{9}}{\frac{32}{17}}$$
- step5: Multiply by the reciprocal:
  $$\frac{64}{9}	imes \frac{17}{32}$$
- step6: Reduce the numbers:
  $$\frac{2}{9}	imes 17$$
- step7: Multiply:
  $$\frac{2	imes 17}{9}$$
- step8: Multiply:
  $$\frac{34}{9}$$
The result of $$ \left(2 \frac{2}{3}ight)^{2} \div 1 \frac{15}{17} $$ is $$ \frac{34}{9} $$ or $$ 3 \frac{7}{9} $$ or $$ 3.777... $$
The result is $$ \frac{34}{9} $$ or $$ 3 \frac{7}{9} $$ or $$ 3.777... $$

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