1. Приведите к наименьшему общему знаменателю: 1) 1/5 и 1/20; 2/7 и 3/14; 5/9 и 11/18; 1/15 и 7/180; 23/120 и 1/30...

Для того чтобы привести дроби к наименьшему общему знаменателю (НОЗ), нужно найти наименьшее общее кратное (НОК) их знаменателей. 1) $\frac{1}{5}$ и $\frac{1}{20}$: НОК(5, 20) = 20. $\frac{1 \times 4}{5 \times 4} = \frac{4}{20}$ и $\frac{1}{20}$. $\frac{2}{7}$ и $\frac{3}{14}$: НОК(7, 14) = 14. $\frac{2 \times 2}{7 \times 2} = \frac{4}{14}$ и $\frac{3}{14}$. $\frac{5}{9}$ и $\frac{11}{18}$: НОК(9, 18) = 18. $\frac{5 \times 2}{9 \times 2} = \frac{10}{18}$ и $\frac{11}{18}$. $\frac{1}{15}$ и $\frac{7}{180}$: НОК(15, 180) = 180. $\frac{1 \times 12}{15 \times 12} = \frac{12}{180}$ и $\frac{7}{180}$. $\frac{23}{120}$ и $\frac{1}{30}$: НОК(120, 30) = 120. $\frac{23}{120}$ и $\frac{1 \times 4}{30 \times 4} = \frac{4}{120}$. 2) $\frac{11}{200}$ и $\frac{2}{25}$: НОК(200, 25) = 200. $\frac{11}{200}$ и $\frac{2 \times 8}{25 \times 8} = \frac{16}{200}$. $\frac{19}{120}$ и $\frac{8}{15}$: НОК(120, 15) = 120. $\frac{19}{120}$ и $\frac{8 \times 8}{15 \times 8} = \frac{64}{120}$. $\frac{7}{120}$ и $\frac{7}{24}$: НОК(120, 24) = 120. $\frac{7}{120}$ и $\frac{7 \times 5}{24 \times 5} = \frac{35}{120}$. $\frac{11}{35}$ и $\frac{13}{105}$: НОК(35, 105) = 105. $\frac{11 \times 3}{35 \times 3} = \frac{33}{105}$ и $\frac{13}{105}$. $\frac{5}{36}$ и $\frac{13}{144}$: НОК(36, 144) = 144. $\frac{5 \times 4}{36 \times 4} = \frac{20}{144}$ и $\frac{13}{144}$. 3) $\frac{3}{20}$, $\frac{2}{15}$ и $\frac{7}{180}$: НОК(20, 15, 180) = 180. $\frac{3 \times 9}{20 \times 9} = \frac{27}{180}$, $\frac{2 \times 12}{15 \times 12} = \frac{24}{180}$ и $\frac{7}{180}$. $\frac{3}{8}$, $\frac{19}{120}$ и $\frac{8}{15}$: НОК(8, 120, 15) = 120. $\frac{3 \times 15}{8 \times 15} = \frac{45}{120}$, $\frac{19}{120}$ и $\frac{8 \times 8}{15 \times 8} = \frac{64}{120}$. $\frac{11}{50}$, $\frac{7}{10}$ и $\frac{27}{100}$: НОК(50, 10, 100) = 100. $\frac{11 \times 2}{50 \times 2} = \frac{22}{100}$, $\frac{7 \times 10}{10 \times 10} = \frac{70}{100}$ и $\frac{27}{100}$. 4) $\frac{2}{3}$, $\frac{5}{6}$, $\frac{11}{18}$ и $\frac{1}{36}$: НОК(3, 6, 18, 36) = 36. $\frac{2 \times 12}{3 \times 12} = \frac{24}{36}$, $\frac{5 \times 6}{6 \times 6} = \frac{30}{36}$, $\frac{11 \times 2}{18 \times 2} = \frac{22}{36}$ и $\frac{1}{36}$. $\frac{1}{4}$, $\frac{1}{6}$, $\frac{4}{15}$ и $\frac{7}{120}$: НОК(4, 6, 15, 120) = 120. $\frac{1 \times 30}{4 \times 30} = \frac{30}{120}$, $\frac{1 \times 20}{6 \times 20} = \frac{20}{120}$, $\frac{4 \times 8}{15 \times 8} = \frac{32}{120}$ и $\frac{7}{120}$. $\frac{11}{14}$, $\frac{13}{140}$, $\frac{3}{7}$ и $\frac{2}{35}$: НОК(14, 140, 7, 35) = 140. $\frac{11 \times 10}{14 \times 10} = \frac{110}{140}$, $\frac{13}{140}$, $\frac{3 \times 20}{7 \times 20} = \frac{60}{140}$ и $\frac{2 \times 4}{35 \times 4} = \frac{8}{140}$. 5) $1\frac{5}{36}$, $2\frac{8}{9}$ и $5\frac{7}{144}$: НОК(36, 9, 144) = 144. $1\frac{5 \times 4}{36 \times 4} = 1\frac{20}{144}$, $2\frac{8 \times 16}{9 \times 16} = 2\frac{128}{144}$ и $5\frac{7}{144}$. $4\frac{17}{65}$, $3\frac{3}{10}$ и $5\frac{1}{130}$: НОК(65, 10, 130) = 130. $4\frac{17 \times 2}{65 \times 2} = 4\frac{34}{130}$, $3\frac{3 \times 13}{10 \times 13} = 3\frac{39}{130}$ и $5\frac{1}{130}$. $\frac{17}{72}$, $2\frac{7}{18}$ и $1\frac{5}{6}$: НОК(72, 18, 6) = 72. $\frac{17}{72}$, $2\frac{7 \times 4}{18 \times 4} = 2\frac{28}{72}$ и $1\frac{5 \times 12}{6 \times 12} = 1\frac{60}{72}$.