Вопрос:

Л) \(\dfrac{10}{\frac{1}{2}+\frac{3}{4}}\); М) \(\dfrac{\frac{1}{3}-\frac{1}{5}}{\frac{2}{3}-\frac{1}{2}}\); Н) \(2-\dfrac{2}{3+\frac{1}{2}}\).

Ответ:

Л) \(\frac{1}{2}+\frac{3}{4}=\frac{2}{4}+\frac{3}{4}=\frac{5}{4}\).

\(\frac{10}{\frac{5}{4}}=10\cdot\frac{4}{5}=8\).

М) \(\frac{1}{3}-\frac{1}{5}=\frac{5-3}{15}=\frac{2}{15}\).

\(\frac{2}{3}-\frac{1}{2}=\frac{4-3}{6}=\frac{1}{6}\).

\(\frac{\frac{2}{15}}{\frac{1}{6}}=\frac{2}{15}\cdot6=\frac{4}{5}\).

Н) \(3+\frac{1}{2}=\frac{7}{2}\).

\(2-\frac{2}{\frac{7}{2}}=2-\frac{4}{7}=\frac{14}{7}-\frac{4}{7}=\frac{10}{7}\).

Ответ: Л) 8; М) \(\frac{4}{5}\); Н) \(\frac{10}{7}\).