Найди значение сумм: 1/3 + 1/6; 1/2 + 1/3; 3/5 − 1/10; 1/12 + 5/6; 1/3 + 1/4; 1/3 + 2/5; 1/2 − 1/4; 8/7 − 1; 1/4 − 1/5; 1/2 + 3/7; 3/4 − 1/8; 1/5 + 1/6; 4/15 + 2/5; 7/10 − 1/2; 1/3 − 1/4.

Чтобы сложить или вычесть дроби с разными знаменателями, приводим их к общему знаменателю.

1. \(\frac{1}{3}+\frac{1}{6}=\frac{2}{6}+\frac{1}{6}=\frac{3}{6}=\frac{1}{2}\).
2. \(\frac{1}{2}+\frac{1}{3}=\frac{3}{6}+\frac{2}{6}=\frac{5}{6}\).
3. \(\frac{3}{5}-\frac{1}{10}=\frac{6}{10}-\frac{1}{10}=\frac{5}{10}=\frac{1}{2}\).
4. \(\frac{1}{12}+\frac{5}{6}=\frac{1}{12}+\frac{10}{12}=\frac{11}{12}\).
5. \(\frac{1}{3}+\frac{1}{4}=\frac{4}{12}+\frac{3}{12}=\frac{7}{12}\).
6. \(\frac{1}{3}+\frac{2}{5}=\frac{5}{15}+\frac{6}{15}=\frac{11}{15}\).
7. \(\frac{1}{2}-\frac{1}{4}=\frac{2}{4}-\frac{1}{4}=\frac{1}{4}\).
8. \(\frac{8}{7}-1=\frac{8}{7}-\frac{7}{7}=\frac{1}{7}\).
9. \(\frac{1}{4}-\frac{1}{5}=\frac{5}{20}-\frac{4}{20}=\frac{1}{20}\).
10. \(\frac{1}{2}+\frac{3}{7}=\frac{7}{14}+\frac{6}{14}=\frac{13}{14}\).
11. \(\frac{3}{4}-\frac{1}{8}=\frac{6}{8}-\frac{1}{8}=\frac{5}{8}\).
12. \(\frac{1}{5}+\frac{1}{6}=\frac{6}{30}+\frac{5}{30}=\frac{11}{30}\).
13. \(\frac{4}{15}+\frac{2}{5}=\frac{4}{15}+\frac{6}{15}=\frac{10}{15}=\frac{2}{3}\).
14. \(\frac{7}{10}-\frac{1}{2}=\frac{7}{10}-\frac{5}{10}=\frac{2}{10}=\frac{1}{5}\).
15. \(\frac{1}{3}-\frac{1}{4}=\frac{4}{12}-\frac{3}{12}=\frac{1}{12}\).

Ответ: \(\frac{1}{2};\frac{5}{6};\frac{1}{2};\frac{11}{12};\frac{7}{12};\frac{11}{15};\frac{1}{4};\frac{1}{7};\frac{1}{20};\frac{13}{14};\frac{5}{8};\frac{11}{30};\frac{2}{3};\frac{1}{5};\frac{1}{12}\).