1.008. \(\left(\dfrac{3\frac13+2,5}{2,5-1\frac13}\cdot\dfrac{4,6-2\frac13}{4,6+2\frac13}\cdot5,2\right):\left(\dfrac{0,05}{\frac17-0,125}+5,7\right)\).

Question

1.008. \(\left(\dfrac{3\frac13+2,5}{2,5-1\frac13}\cdot\dfrac{4,6-2\frac13}{4,6+2\frac13}\cdot5,2\right):\left(\dfrac{0,05}{\frac17-0,125}+5,7\right)\).

Accepted Answer

\(\dfrac{3\frac13+2,5}{2,5-1\frac13}=\frac{35/6}{7/6}=5\).

\(\dfrac{4,6-2\frac13}{4,6+2\frac13}=\dfrac{34/15}{104/15}=\frac{17}{52}\). Поэтому произведение в первой скобке равно \(5\cdot\frac{17}{52}\cdot\frac{26}{5}=\frac{17}{2}\).

\(\frac{0,05}{\frac17-0,125}+5,7=\frac{1/20}{1/56}+\frac{57}{10}=\frac{14}{5}+\frac{57}{10}=\frac{17}{2}\).

\(\frac{17}{2}:\frac{17}{2}=1\).

Ответ: \(1\).