68. Выполните действия: 1) x/6 + y/6; 2) a/3 − b/3; 3) m/n + 4m/n; 4) 6c/a − 2c/a; 5) (m+n)/6 − (m−2n)/6; 6) (2a−3b)/(6ab) + (9b−2a)/(6ab); 7) −(5c+4d)/(cd) + (4d+9c)/(cd); 8) (8m+3)/(10m²) − (2m+3)/(10m²).

Question

Вопрос:

Фото задания: 68. Выполните действия: 1) x/6 + y/6; 2) a/3 − b/3; 3) m/n + 4m/n; 4) 6c/a − 2c/a; 5) (m+n)/6 − (m−2n)/6; 6) (2a−3b)/(6ab)…

68. Выполните действия: 1) x/6 + y/6; 2) a/3 − b/3; 3) m/n + 4m/n; 4) 6c/a − 2c/a; 5) (m+n)/6 − (m−2n)/6; 6) (2a−3b)/(6ab) + (9b−2a)/(6ab); 7) −(5c+4d)/(cd) + (4d+9c)/(cd); 8) (8m+3)/(10m²) − (2m+3)/(10m²).

Accepted Answer

\(\frac{x}{6}+\frac{y}{6}=\frac{x+y}{6}\).
\(\frac{a}{3}-\frac{b}{3}=\frac{a-b}{3}\).
\(\frac{m}{n}+\frac{4m}{n}=\frac{5m}{n}\).
\(\frac{6c}{a}-\frac{2c}{a}=\frac{4c}{a}\).
\(\frac{m+n-(m-2n)}{6}=\frac{3n}{6}=\frac n2\).
\(\frac{2a-3b+9b-2a}{6ab}=\frac{6b}{6ab}=\frac1a\).
\(\frac{-(5c+4d)+(4d+9c)}{cd}=\frac{4c}{cd}=\frac4d\).
\(\frac{8m+3-2m-3}{10m^2}=\frac{6m}{10m^2}=\frac{3}{5m}\).

Ответ: 1) \(\frac{x+y}{6}\); 2) \(\frac{a-b}{3}\); 3) \(\frac{5m}{n}\); 4) \(\frac{4c}{a}\); 5) \(\frac n2\); 6) \(\frac1a\); 7) \(\frac4d\); 8) \(\frac{3}{5m}\).