21. \( \frac{4}{5} \cdot \frac{15}{8}+\frac{3}{4} \div 9 \)

Calculate or simplify the expression \( \frac{4}{5} \cdot \frac{15}{8}+\frac{3}{4} \div 9 \). Calculate the value by following steps: - step0: Calculate: \(\frac{4}{5}\times \frac{15}{8}+\frac{3}{4}\div 9\) - step1: Multiply the numbers: \(\frac{3}{2}+\frac{3}{4}\div 9\) - step2: Divide the terms: \(\frac{3}{2}+\frac{1}{12}\) - step3: Reduce fractions to a common denominator: \(\frac{3\times 6}{2\times 6}+\frac{1}{12}\) - step4: Multiply the numbers: \(\frac{3\times 6}{12}+\frac{1}{12}\) - step5: Transform the expression: \(\frac{3\times 6+1}{12}\) - step6: Multiply the numbers: \(\frac{18+1}{12}\) - step7: Add the numbers: \(\frac{19}{12}\) The result of \( \frac{4}{5} \cdot \frac{15}{8}+\frac{3}{4} \div 9 \) is \( \frac{19}{12} \) or \( 1\frac{7}{12} \) or \( 1.5833 \).