Вычислите: 1) $\frac{1}{5}+\frac{10}{25}$; 2) $\frac{1}{6}+\frac{5}{18}$; 3) $\frac{5}{7}+\frac{3}{14}$; 4) $\frac{2}{15}+\frac{3}{5}$; 5) $\frac{7}{15}+\frac{1}{3}$; 6) $\frac{2}{30}+\frac{3}{5}$; 7) $\frac{2}{7}+\frac{4}{21}$; 8) $\frac{3}{5}+\frac{11}{20}$; 9) $\frac{1}{5}+\frac{8}{15}$; 10) $\frac{12}{27}+\frac{2}{3}$. Также: $\frac{1}{18}+\frac{21}{180}$; $\frac{4}{7}-\frac{14}{21}$; $\frac{4}{6}-\frac{5}{18}$; $\frac{2}{7}-\frac{3}{14}$; $\frac{2}{15}-\frac{1}{5}$; $\frac{10}{15}-\frac{2}{3}$; $\frac{22}{9}-\frac{7}{3}$; $\frac{4}{7}-\frac{4}{21}$; $\frac{3}{5}-\frac{11}{20}$; $\frac{3}{5}-\frac{8}{15}$.

Question

Вопрос: $Фото задания: Вычислите: 1) $\frac{1}{5}+\frac{10}{25}$; 2) $\frac{1}{6}+\frac{5}{18}$; 3) $\frac{5}{7}+\frac{3}{14}$; 4)…$ Фото задания

Вычислите: 1) $\frac{1}{5}+\frac{10}{25}$; 2) $\frac{1}{6}+\frac{5}{18}$; 3) $\frac{5}{7}+\frac{3}{14}$; 4) $\frac{2}{15}+\frac{3}{5}$; 5) $\frac{7}{15}+\frac{1}{3}$; 6) $\frac{2}{30}+\frac{3}{5}$; 7) $\frac{2}{7}+\frac{4}{21}$; 8) $\frac{3}{5}+\frac{11}{20}$; 9) $\frac{1}{5}+\frac{8}{15}$; 10) $\frac{12}{27}+\frac{2}{3}$. Также: $\frac{1}{18}+\frac{21}{180}$; $\frac{4}{7}-\frac{14}{21}$; $\frac{4}{6}-\frac{5}{18}$; $\frac{2}{7}-\frac{3}{14}$; $\frac{2}{15}-\frac{1}{5}$; $\frac{10}{15}-\frac{2}{3}$; $\frac{22}{9}-\frac{7}{3}$; $\frac{4}{7}-\frac{4}{21}$; $\frac{3}{5}-\frac{11}{20}$; $\frac{3}{5}-\frac{8}{15}$.

Accepted Answer

Приводим дроби к общему знаменателю, выполняем действие и сокращаем результат.

$\frac{1}{5}+\frac{10}{25}=\frac{5}{25}+\frac{10}{25}=\frac{15}{25}=\frac{3}{5}$.
$\frac{1}{6}+\frac{5}{18}=\frac{3}{18}+\frac{5}{18}=\frac{8}{18}=\frac{4}{9}$.
$\frac{5}{7}+\frac{3}{14}=\frac{10}{14}+\frac{3}{14}=\frac{13}{14}$.
$\frac{2}{15}+\frac{3}{5}=\frac{2}{15}+\frac{9}{15}=\frac{11}{15}$.
$\frac{7}{15}+\frac{1}{3}=\frac{7}{15}+\frac{5}{15}=\frac{12}{15}=\frac{4}{5}$.
$\frac{2}{30}+\frac{3}{5}=\frac{1}{15}+\frac{9}{15}=\frac{10}{15}=\frac{2}{3}$.
$\frac{2}{7}+\frac{4}{21}=\frac{6}{21}+\frac{4}{21}=\frac{10}{21}$.
$\frac{3}{5}+\frac{11}{20}=\frac{12}{20}+\frac{11}{20}=\frac{23}{20}=1\frac{3}{20}$.
$\frac{1}{5}+\frac{8}{15}=\frac{3}{15}+\frac{8}{15}=\frac{11}{15}$.
$\frac{12}{27}+\frac{2}{3}=\frac{12}{27}+\frac{18}{27}=\frac{30}{27}=\frac{10}{9}=1\frac{1}{9}$.

$\frac{1}{18}+\frac{21}{180}=\frac{10}{180}+\frac{21}{180}=\frac{31}{180}$.
$\frac{4}{7}-\frac{14}{21}=\frac{12}{21}-\frac{14}{21}=-\frac{2}{21}$.
$\frac{4}{6}-\frac{5}{18}=\frac{12}{18}-\frac{5}{18}=\frac{7}{18}$.
$\frac{2}{7}-\frac{3}{14}=\frac{4}{14}-\frac{3}{14}=\frac{1}{14}$.
$\frac{2}{15}-\frac{1}{5}=\frac{2}{15}-\frac{3}{15}=-\frac{1}{15}$.
$\frac{10}{15}-\frac{2}{3}=\frac{10}{15}-\frac{10}{15}=0$.
$\frac{22}{9}-\frac{7}{3}=\frac{22}{9}-\frac{21}{9}=\frac{1}{9}$.
$\frac{4}{7}-\frac{4}{21}=\frac{12}{21}-\frac{4}{21}=\frac{8}{21}$.
$\frac{3}{5}-\frac{11}{20}=\frac{12}{20}-\frac{11}{20}=\frac{1}{20}$.
$\frac{3}{5}-\frac{8}{15}=\frac{9}{15}-\frac{8}{15}=\frac{1}{15}$.

Ответ: $\frac{3}{5};\ \frac{4}{9};\ \frac{13}{14};\ \frac{11}{15};\ \frac{4}{5};\ \frac{2}{3};\ \frac{10}{21};\ 1\frac{3}{20};\ \frac{11}{15};\ 1\frac{1}{9};\ \frac{31}{180};\ -\frac{2}{21};\ \frac{7}{18};\ \frac{1}{14};\ -\frac{1}{15};\ 0;\ \frac{1}{9};\ \frac{8}{21};\ \frac{1}{20};\ \frac{1}{15}$.