3.3 Simplify the following: \( \frac{\sqrt{9}}{\sqrt{16}}+\frac{\sqrt[3]{8}}{\sqrt[3]{27}} \)

Calculate or simplify the expression \( \frac{\sqrt{9}}{\sqrt{16}}+\frac{\sqrt[3]{8}}{\sqrt[3]{27}} \). Calculate the value by following steps: - step0: Calculate: \(\frac{\sqrt{9}}{\sqrt{16}}+\frac{\sqrt[3]{8}}{\sqrt[3]{27}}\) - step1: Simplify the root: \(\frac{3}{\sqrt{16}}+\frac{\sqrt[3]{8}}{\sqrt[3]{27}}\) - step2: Simplify the root: \(\frac{3}{4}+\frac{\sqrt[3]{8}}{\sqrt[3]{27}}\) - step3: Simplify the root: \(\frac{3}{4}+\frac{2}{\sqrt[3]{27}}\) - step4: Simplify the root: \(\frac{3}{4}+\frac{2}{3}\) - step5: Reduce fractions to a common denominator: \(\frac{3\times 3}{4\times 3}+\frac{2\times 4}{3\times 4}\) - step6: Multiply the numbers: \(\frac{3\times 3}{12}+\frac{2\times 4}{3\times 4}\) - step7: Multiply the numbers: \(\frac{3\times 3}{12}+\frac{2\times 4}{12}\) - step8: Transform the expression: \(\frac{3\times 3+2\times 4}{12}\) - step9: Multiply the numbers: \(\frac{9+2\times 4}{12}\) - step10: Multiply the numbers: \(\frac{9+8}{12}\) - step11: Add the numbers: \(\frac{17}{12}\) The simplified form of the expression \( \frac{\sqrt{9}}{\sqrt{16}}+\frac{\sqrt[3]{8}}{\sqrt[3]{27}} \) is \( \frac{17}{12} \) or \( 1\frac{5}{12} \) or \( 1.4166 \) (rounded to four decimal places).