Question

Выполните сложение обыкновенных дробей:
2/5 + 1 /10=
5/6 +2/3 =
3/4+7/12=
2/15 +4/5=
5/7 + 3/14=
3/11+6/55=
1/6 +1/9=
1/10+1/15=
2/8+1/12=
1/9+1/2=
Спасибо, даю 20 баллов за срочность!

Answer 1

$\frac{2}{5}+\frac{1}{10}=\frac{2*2}{5*2}+\frac{1}{10}=\frac{4}{10}+\frac{1}{10}=\frac{5}{10}=\frac{1}{2}\\\\\frac{5}{6}+\frac{2}{3}=\frac{5}{6}+\frac{2*2}{3*2}=\frac{5}{6}+\frac{4}{6}=\frac{9}{6}=\frac{3}{2}=1\frac{1}{2}\\\\\frac{3}{4}+\frac{7}{12}=\frac{3*3}{4*3}+\frac{7}{12}=\frac{9}{12}+\frac{7}{12}=\frac{16}{12}=\frac{4}{3}=1\frac{1}{3} \\\\\frac{2}{15}+\frac{4}{5}=\frac{2}{15}+\frac{4*3}{5*3}=\frac{2}{15}+\frac{12}{15}=\frac{14}{15}$

$\frac{5}{7}+\frac{3}{14}=\frac{5*2}{7*2}+\frac{3}{14}=\frac{10}{14}+\frac{3}{14}=\frac{13}{14}\\\\\frac{3}{11}+\frac{6}{55}=\frac{3*5}{11*5}+\frac{6}{55}=\frac{15}{55}+\frac{6}{55}=\frac{21}{55}\\\\\frac{1}{6}+\frac{1}{9}=\frac{1*3}{6*3}+\frac{1*2}{9*2}=\frac{3}{18}+\frac{2}{18}=\frac{5}{18}\\\\\frac{1}{10}+\frac{1}{15}=\frac{1*3}{10*3}+\frac{1*2}{15*2}=\frac{3}{30}+\frac{2}{30}=\frac{5}{30}=\frac{1}6}$

$\frac{2}{8}+\frac{1}{12}=\frac{2*3}{8*3}+\frac{1*2}{12*2}=\frac{6}{24}+\frac{2}{24}=\frac{8}{24}=\frac{1}{3}\\\\\frac{1}{9}+\frac{1}{2}=\frac{1*2}{9*2}+\frac{1*9}{2*9}=\frac{2}{18}+\frac{9}{18}=\frac{11}{18}$