Задание 8. Выполните действие: А: 1) 1/2 + x/3; 2) 2/5 + a/2; 3) y/7 − x/3; 4) 2/a + 1/3; 5) x/y + 2/3; 6) 5/a + 1/b; 7) c/7 − 2/a; 8) 8a/b − c; 9) ab/x − y/3; 10) 3x/a + 2y/b. Б: 1) a/4 + b/8; 2) n/10 − m/5; 3) 6/25 + a/100; 4) 1/(2a) + 1/(2b); 5) 1/(6x) − 1/(6y); 6) 3/(5c) − 2/(15c); 7) x/(3a) + 3x/(6a); 8) a/(28m) − a/(7m); 9) b/(10x) + a/(15x); 10) 5x/(12a) − 2y/(9a).

А

1. \(\dfrac{1}{2}+\dfrac{x}{3}=\dfrac{3+2x}{6}\).
2. \(\dfrac{2}{5}+\dfrac{a}{2}=\dfrac{4+5a}{10}\).
3. \(\dfrac{y}{7}-\dfrac{x}{3}=\dfrac{3y-7x}{21}\).
4. \(\dfrac{2}{a}+\dfrac{1}{3}=\dfrac{6+a}{3a}\).
5. \(\dfrac{x}{y}+\dfrac{2}{3}=\dfrac{3x+2y}{3y}\).
6. \(\dfrac{5}{a}+\dfrac{1}{b}=\dfrac{5b+a}{ab}\).
7. \(\dfrac{c}{7}-\dfrac{2}{a}=\dfrac{ac-14}{7a}\).
8. \(\dfrac{8a}{b}-c=\dfrac{8a-bc}{b}\).
9. \(\dfrac{ab}{x}-\dfrac{y}{3}=\dfrac{3ab-xy}{3x}\).
10. \(\dfrac{3x}{a}+\dfrac{2y}{b}=\dfrac{3bx+2ay}{ab}\).

Б

1. \(\dfrac{a}{4}+\dfrac{b}{8}=\dfrac{2a+b}{8}\).
2. \(\dfrac{n}{10}-\dfrac{m}{5}=\dfrac{n-2m}{10}\).
3. \(\dfrac{6}{25}+\dfrac{a}{100}=\dfrac{24+a}{100}\).
4. \(\dfrac{1}{2a}+\dfrac{1}{2b}=\dfrac{a+b}{2ab}\).
5. \(\dfrac{1}{6x}-\dfrac{1}{6y}=\dfrac{y-x}{6xy}\).
6. \(\dfrac{3}{5c}-\dfrac{2}{15c}=\dfrac{9-2}{15c}=\dfrac{7}{15c}\).
7. \(\dfrac{x}{3a}+\dfrac{3x}{6a}=\dfrac{2x}{6a}+\dfrac{3x}{6a}=\dfrac{5x}{6a}\).
8. \(\dfrac{a}{28m}-\dfrac{a}{7m}=\dfrac{a-4a}{28m}=-\dfrac{3a}{28m}\).
9. \(\dfrac{b}{10x}+\dfrac{a}{15x}=\dfrac{3b+2a}{30x}\).
10. \(\dfrac{5x}{12a}-\dfrac{2y}{9a}=\dfrac{15x-8y}{36a}\).