332. Найдите значение выражения: а) 5/8 + 1/4 + 7/12; б) 5/6 − 3/8 + 1/12; в) 3/7 + 11/14 − 2/21; г) 1/5 + 1/7 − 1/9; д) 13/18 − 1/24 − (29/72 + 6/36); е) (7/8 − 4/5) + (1/20 + 1/4) + 1/2.

Question

Вопрос:

Accepted Answer

\(\frac{5}{8}+\frac{1}{4}+\frac{7}{12}=\frac{15}{24}+\frac{6}{24}+\frac{14}{24}=\frac{35}{24}=1\frac{11}{24}\).
\(\frac{5}{6}-\frac{3}{8}+\frac{1}{12}=\frac{20}{24}-\frac{9}{24}+\frac{2}{24}=\frac{13}{24}\).
\(\frac{3}{7}+\frac{11}{14}-\frac{2}{21}=\frac{18}{42}+\frac{33}{42}-\frac{4}{42}=\frac{47}{42}=1\frac{5}{42}\).
\(\frac{1}{5}+\frac{1}{7}-\frac{1}{9}=\frac{63}{315}+\frac{45}{315}-\frac{35}{315}=\frac{73}{315}\).
\(\frac{13}{18}-\frac{1}{24}-\left(\frac{29}{72}+\frac{6}{36}\right)=\frac{52}{72}-\frac{3}{72}-\left(\frac{29}{72}+\frac{12}{72}\right)=\frac{8}{72}=\frac{1}{9}\).
\(\left(\frac{7}{8}-\frac{4}{5}\right)+\left(\frac{1}{20}+\frac{1}{4}\right)+\frac{1}{2}=\frac{3}{40}+\frac{12}{40}+\frac{20}{40}=\frac{35}{40}=\frac{7}{8}\).

Ответ: а) \(1\frac{11}{24}\); б) \(\frac{13}{24}\); в) \(1\frac{5}{42}\); г) \(\frac{73}{315}\); д) \(\frac{1}{9}\); е) \(\frac{7}{8}\).