г) \( 4 \frac{7}{12} a+\frac{2}{3} b \), если \( a=\frac{4}{11} \) и \( b=\frac{9}{16} \)

Substitute \( a=\frac{4}{11} \) and \( b=\frac{9}{16} \) into the expression \( 4 \frac{7}{12} a+\frac{2}{3} b \). Evaluate the expression by following steps: - step0: Evaluate: \(4\frac{7}{12}\times a+\frac{2}{3}b\) - step1: Substitute: \(4\frac{7}{12}\times \frac{4}{11}+\frac{2}{3}\times \frac{9}{16}\) - step2: Convert the expressions: \(\frac{55}{12}\times \frac{4}{11}+\frac{2}{3}\times \frac{9}{16}\) - step3: Multiply the numbers: \(\frac{5}{3}+\frac{2}{3}\times \frac{9}{16}\) - step4: Multiply the numbers: \(\frac{5}{3}+\frac{3}{8}\) - step5: Reduce fractions to a common denominator: \(\frac{5\times 8}{3\times 8}+\frac{3\times 3}{8\times 3}\) - step6: Multiply the numbers: \(\frac{5\times 8}{24}+\frac{3\times 3}{8\times 3}\) - step7: Multiply the numbers: \(\frac{5\times 8}{24}+\frac{3\times 3}{24}\) - step8: Transform the expression: \(\frac{5\times 8+3\times 3}{24}\) - step9: Multiply the numbers: \(\frac{40+3\times 3}{24}\) - step10: Multiply the numbers: \(\frac{40+9}{24}\) - step11: Add the numbers: \(\frac{49}{24}\) When \( a=\frac{4}{11} \) and \( b=\frac{9}{16} \), the expression \( 4 \frac{7}{12} a+\frac{2}{3} b \) simplifies to \( \frac{49}{24} \) or \( 2 \frac{1}{24} \) or \( 2.041\dot{6} \).