260 Вправа 260Алгебра 8 клас Бевз 2025 · § 6 · стор. 57

260. Виконай ділення.

а) ${\displaystyle \frac{2a}{b}:\frac{4a}{b}=}$${\displaystyle \frac{2a}{b}\cdot \frac{b}{4a}=}$${\displaystyle \frac{2a\cdot b}{b\cdot 4a}=}$${\displaystyle \frac{\cancel{2}\cancel{a}\cdot \cancel{b}}{\cancel{b}\cdot 2\cdot \cancel{2}\cancel{a}}=}$${\displaystyle \frac{1}{2}}$;

б) ${\displaystyle \frac{1}{a}:\frac{a}{2}=}$${\displaystyle \frac{1}{a}\cdot \frac{2}{a}=}$${\displaystyle \frac{2}{a\cdot a}=}$${\displaystyle \frac{2}{a^2}}$;

в) ${\displaystyle \frac{1}{a}:\frac{2}{a}=}$${\displaystyle \frac{1}{a}\cdot \frac{a}{2}=}$${\displaystyle \frac{\cancel{a}}{\cancel{a}\cdot 2}=}$${\displaystyle \frac{1}{2}}$;

г) ${\displaystyle \frac{a^2}{b}:\frac{a}{b}=}$${\displaystyle \frac{a^2}{b}\cdot \frac{b}{a}=}$${\displaystyle \frac{a^2\cdot b}{b\cdot a}=}$${\displaystyle \frac{a\cancel{a}\cdot \cancel{b}}{\cancel{b}\cdot \cancel{a}}=}$${\displaystyle a}$.