259 Вправа 259Алгебра 8 клас Бевз 2025 · § 6 · стор. 57

259. Обчисли частку.

${\displaystyle 10:\frac{1}{5}=}$${\displaystyle 10\cdot 5=}$${\displaystyle 50}$;

${\displaystyle 20:\frac{4}{5}=}$${\displaystyle 20\cdot \frac{5}{4}=}$${\displaystyle \frac{20\cdot 5}{4}=}$${\displaystyle \frac{5\cdot \cancel{4}\cdot 5}{\cancel{4}}=}$${\displaystyle 25}$;

${\displaystyle \frac{2}{3}:2=}$${\displaystyle \frac{2}{3}\cdot \frac{1}{2}=}$${\displaystyle \frac{\cancel{2}}{3\cdot \cancel{2}}=}$${\displaystyle \frac{1}{3}}$;

${\displaystyle \frac{3}{4}:6=}$${\displaystyle \frac{3}{4}\cdot \frac{1}{6}=}$${\displaystyle \frac{3}{4\cdot 6}=}$${\displaystyle \frac{\cancel{3}}{4\cdot 2\cdot \cancel{3}}=}$${\displaystyle \frac{1}{8}}$;

${\displaystyle \frac{2}{3}:\frac{2}{3}=}$${\displaystyle \frac{2}{3}\cdot \frac{3}{2}=}$${\displaystyle \frac{\cancel{2}\cdot \cancel{3}}{\cancel{3}\cdot \cancel{2}}=}$${\displaystyle 1}$;

${\displaystyle \frac{3}{5}:\frac{5}{3}=}$${\displaystyle \frac{3}{5}\cdot \frac{3}{5}=}$${\displaystyle \frac{3\cdot 3}{5\cdot 5}=}$${\displaystyle \frac{9}{25}}$;

${\displaystyle 1\frac{1}{2}:\frac{1}{2}=}$${\displaystyle \frac{3}{2}\cdot \frac{2}{1}=}$${\displaystyle \frac{3\cdot \cancel{2}}{\cancel{2}}=}$${\displaystyle 3}$;

${\displaystyle \frac{3}{2}:1,5=}$${\displaystyle \frac{3}{2}:\frac{3}{2}=}$${\displaystyle 1}$.