94° Вправа 94Алгебра 8 клас Тарасенкова 2025 · § 2 · стор. 31

94. Скоротіть дріб.

1) ${\displaystyle \frac{30x^3{y}^3}{5xy}=}$${\displaystyle \frac{\cancel{5xy}\cdot 6x^2{y}^2}{\cancel{5xy}}=}$${\displaystyle 6x^2{y}^2}$;

2) ${\displaystyle \frac{14a^5{b}^4{c}^3}{21ab{c}^2}=}$${\displaystyle \frac{\cancel{7ab{c}^2}\cdot 2a^4{b}^{3}c}{\cancel{7ab{c}^2}\cdot 3}=}$${\displaystyle \frac{2a^4{b}^{3}c}{3}}$;

3) ${\displaystyle \frac{15a{b}^3}{10b{c}^2}=}$${\displaystyle \frac{\cancel{5b}\cdot 3a{b}^2}{\cancel{5b}\cdot 2c^2}=}$${\displaystyle \frac{3a{b}^2}{2c^2}}$;

4) ${\displaystyle \frac{6a^{2}b}{18a{b}^2}=}$${\displaystyle \frac{\cancel{6ab}\cdot a}{\cancel{6ab}\cdot 3b}=}$${\displaystyle \frac{a}{3b}}$;

5) ${\displaystyle \frac{48x^2{y}^3}{16axy}=}$${\displaystyle \frac{\cancel{16xy}\cdot 3x{y}^2}{\cancel{16xy}\cdot a}=}$${\displaystyle \frac{3x{y}^2}{a}}$;

6) ${\displaystyle \frac{24a^{3}b}{32a{b}^3}=}$${\displaystyle \frac{\cancel{8ab}\cdot 3a^2}{\cancel{8ab}\cdot 4b^2}=}$${\displaystyle \frac{3a^2}{4b^2}}$.