2. Вычислите: а) \( \frac{55}{48}:\left(\frac{11}{16}+\frac{3}{32}\right)-\frac{14}{15} \cdot \frac{5}{7} \);

Calculate or simplify the expression \( (55/48) / ((11/16) + (3/32)) - (14/15) * (5/7) \). Calculate the value by following steps: - step0: Calculate: \(\frac{\frac{55}{48}}{\left(\frac{11}{16}+\frac{3}{32}\right)}-\frac{14}{15}\times \frac{5}{7}\) - step1: Remove the parentheses: \(\frac{\frac{55}{48}}{\frac{11}{16}+\frac{3}{32}}-\frac{14}{15}\times \frac{5}{7}\) - step2: Add the numbers: \(\frac{\frac{55}{48}}{\frac{25}{32}}-\frac{14}{15}\times \frac{5}{7}\) - step3: Divide the terms: \(\frac{22}{15}-\frac{14}{15}\times \frac{5}{7}\) - step4: Multiply the numbers: \(\frac{22}{15}-\frac{2}{3}\) - step5: Reduce fractions to a common denominator: \(\frac{22}{15}-\frac{2\times 5}{3\times 5}\) - step6: Multiply the numbers: \(\frac{22}{15}-\frac{2\times 5}{15}\) - step7: Transform the expression: \(\frac{22-2\times 5}{15}\) - step8: Multiply the numbers: \(\frac{22-10}{15}\) - step9: Subtract the numbers: \(\frac{12}{15}\) - step10: Reduce the fraction: \(\frac{4}{5}\) Результат: \( \frac{55}{48}:\left(\frac{11}{16}+\frac{3}{32}\right)-\frac{14}{15} \cdot \frac{5}{7} = \frac{4}{5} \) или \( 0.8 \).