Привет! Давай решим примеры из твоего учебника. Чтобы сложить дроби с разными знаменателями, нужно привести их к общему знаменателю.
### Задание 832
а) $\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}$
б) $\frac{1}{2} + \frac{1}{5} = \frac{5}{10} + \frac{2}{10} = \frac{7}{10}$
в) $\frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12}$
г) $\frac{1}{4} + \frac{1}{5} = \frac{5}{20} + \frac{4}{20} = \frac{9}{20}$
д) $\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}$
е) $\frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$
ж) $\frac{1}{2} + \frac{1}{6} = \frac{3}{6} + \frac{1}{6} = \frac{4}{6} = \frac{2}{3}$
з) $\frac{1}{4} + \frac{1}{8} = \frac{2}{8} + \frac{1}{8} = \frac{3}{8}$
### Задание 833
а) $\frac{1}{10} + \frac{7}{100} = \frac{10}{100} + \frac{7}{100} = \frac{17}{100}$
б) $\frac{21}{100} + \frac{1}{10} = \frac{21}{100} + \frac{10}{100} = \frac{31}{100}$
в) $\frac{3}{5} + \frac{9}{10} = \frac{6}{10} + \frac{9}{10} = \frac{15}{10} = 1\frac{5}{10} = 1\frac{1}{2}$
г) $\frac{2}{3} + \frac{5}{6} = \frac{4}{6} + \frac{5}{6} = \frac{9}{6} = 1\frac{3}{6} = 1\frac{1}{2}$
д) $\frac{15}{24} + \frac{3}{8} = \frac{15}{24} + \frac{9}{24} = \frac{24}{24} = 1$
е) $\frac{7}{6} + \frac{16}{18} = \frac{21}{18} + \frac{16}{18} = \frac{37}{18} = 2\frac{1}{18}$
ж) $\frac{1}{12} + \frac{1}{6} = \frac{1}{12} + \frac{2}{12} = \frac{3}{12} = \frac{1}{4}$
з) $\frac{1}{2} + \frac{3}{10} = \frac{5}{10} + \frac{3}{10} = \frac{8}{10} = \frac{4}{5}$
### Задание 834
а) $\frac{3}{36} + \frac{7}{9} = \frac{3}{36} + \frac{28}{36} = \frac{31}{36}$
б) $\frac{2}{5} + \frac{3}{20} = \frac{8}{20} + \frac{3}{20} = \frac{11}{20}$
в) $\frac{1}{6} + \frac{5}{12} = \frac{2}{12} + \frac{5}{12} = \frac{7}{12}$
г) $\frac{11}{49} + \frac{6}{7} = \frac{11}{49} + \frac{42}{49} = \frac{53}{49} = 1\frac{4}{49}$
д) $\frac{13}{24} + \frac{5}{8} = \frac{13}{24} + \frac{15}{24} = \frac{28}{24} = 1\frac{4}{24} = 1\frac{1}{6}$
е) $\frac{3}{8} + \frac{6}{32} = \frac{12}{32} + \frac{6}{32} = \frac{18}{32} = \frac{9}{16}$
ж) $\frac{6}{120} + \frac{3}{20} = \frac{6}{120} + \frac{18}{120} = \frac{24}{120} = \frac{1}{5}$
з) $\frac{9}{16} + \frac{50}{100} = \frac{9}{16} + \frac{1}{2} = \frac{9}{16} + \frac{8}{16} = \frac{17}{16} = 1\frac{1}{16}$
### Задание 835
а) $\frac{1}{6} + \frac{1}{9} = \frac{3}{18} + \frac{2}{18} = \frac{5}{18}$
б) $\frac{2}{9} + \frac{5}{6} = \frac{4}{18} + \frac{15}{18} = \frac{19}{18} = 1\frac{1}{18}$
в) $\frac{2}{9} + \frac{3}{8} = \frac{16}{72} + \frac{27}{72} = \frac{43}{72}$
г) $\frac{2}{10} + \frac{6}{15} = \frac{6}{30} + \frac{12}{30} = \frac{18}{30} = \frac{3}{5}$
д) $\frac{3}{10} + \frac{2}{12} = \frac{18}{60} + \frac{10}{60} = \frac{28}{60} = \frac{7}{15}$
е) $\frac{5}{12} + \frac{4}{15} = \frac{25}{60} + \frac{16}{60} = \frac{41}{60}$
ж) $\frac{3}{4} + \frac{5}{18} = \frac{27}{36} + \frac{10}{36} = \frac{37}{36} = 1\frac{1}{36}$
з) $\frac{2}{26} + \frac{3}{39} = \frac{6}{78} + \frac{6}{78} = \frac{12}{78} = \frac{2}{13}$
и) $\frac{7}{34} + \frac{5}{51} = \frac{21}{102} + \frac{10}{102} = \frac{31}{102}$
к) $\frac{4}{210} + \frac{5}{140} = \frac{8}{420} + \frac{15}{420} = \frac{23}{420}$
л) $\frac{7}{450} + \frac{8}{180} = \frac{14}{900} + \frac{40}{900} = \frac{54}{900} = \frac{3}{50}$
м) $\frac{9}{180} + \frac{7}{120} = \frac{18}{360} + \frac{21}{360} = \frac{39}{360} = \frac{13}{120}$
