Блок 1. Вычислите: 1) 1/10 + 29/20; 2) 1/2 + 11/10; 3) 1/4 + 37/20; 4) 1/2 − 9/25; 5) 1/2 + 31/20; 6) 1/4 − 3/25; 7) 1/10 − 23/20; 8) 1/5 − 41/50; 9) 11/4 − 2/5; 10) 1/4 − 51/20.

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

1. \(\frac{1}{10}+\frac{29}{20}=\frac{2}{20}+\frac{29}{20}=\frac{31}{20}\).
2. \(\frac{1}{2}+\frac{11}{10}=\frac{5}{10}+\frac{11}{10}=\frac{16}{10}=\frac{8}{5}\).
3. \(\frac{1}{4}+\frac{37}{20}=\frac{5}{20}+\frac{37}{20}=\frac{42}{20}=\frac{21}{10}\).
4. \(\frac{1}{2}-\frac{9}{25}=\frac{25}{50}-\frac{18}{50}=\frac{7}{50}\).
5. \(\frac{1}{2}+\frac{31}{20}=\frac{10}{20}+\frac{31}{20}=\frac{41}{20}\).
6. \(\frac{1}{4}-\frac{3}{25}=\frac{25}{100}-\frac{12}{100}=\frac{13}{100}\).
7. \(\frac{1}{10}-\frac{23}{20}=\frac{2}{20}-\frac{23}{20}=-\frac{21}{20}\).
8. \(\frac{1}{5}-\frac{41}{50}=\frac{10}{50}-\frac{41}{50}=-\frac{31}{50}\).
9. \(\frac{11}{4}-\frac{2}{5}=\frac{55}{20}-\frac{8}{20}=\frac{47}{20}\).
10. \(\frac{1}{4}-\frac{51}{20}=\frac{5}{20}-\frac{51}{20}=-\frac{46}{20}=-\frac{23}{10}\).