216° Вправа 216Алгебра 8 клас Тарасенкова 2025 · § 6 · стор. 65

216. Знайдіть частку дробів:

1) ${\displaystyle \frac{y+3}{4}\cdot \frac{36}{y+3}=}$${\displaystyle \frac{\cancel{\left(y+3\right)}\cdot 9\cdot \stackrel{1}{\cancel{4}}}{\underset{1}{\cancel{4}}\cancel{\left(y+3\right)}}=}$${\displaystyle 9}$;

2) ${\displaystyle \frac{3x+1}{15}\cdot \frac{35}{3\left(1+3x\right)}=}$${\displaystyle \frac{\cancel{\left(3x+1\right)}\cdot \stackrel{7}{\cancel{35}}}{\underset{3}{\cancel{15}}\cdot 3\cancel{\left(3x+1\right)}}=}$${\displaystyle \frac{7}{9}}$;

3) ${\displaystyle \frac{2-5y}{10}\cdot \frac{50}{3\left(5y-2\right)}=}$${\displaystyle \frac{-\cancel{\left(5y-2\right)}\cdot 5\cdot \cancel{10}}{\cancel{10}\cdot 3\cancel{\left(5y-2\right)}}=}$${\displaystyle -\frac{5}{3}=}$${\displaystyle -1\frac{2}{3}}$.