a,\(\dfrac{5}{6}+\left(-\dfrac{1}{2}\right)+\dfrac{3}{4}\)
\(=\dfrac{10}{12}+\left(-\dfrac{6}{12}\right)+\dfrac{9}{12}\)
\(=\dfrac{10-6+9}{12}=\dfrac{13}{12}\)
b,\(\left(0,75-\dfrac{1}{3}\right):\dfrac{7}{15}\)
\(=\left(\dfrac{3}{4}-\dfrac{1}{3}\right):\dfrac{7}{15}\)
\(=\left(\dfrac{9}{12}-\dfrac{4}{12}\right):\dfrac{7}{15}\)
\(=\dfrac{5}{12}:\dfrac{7}{15}\)
\(=\dfrac{25}{28}\)
c,\(\dfrac{7}{12}-\dfrac{3}{4}.\dfrac{5}{6}\)
\(=\dfrac{7}{12}-\dfrac{5}{8}\)
\(=\dfrac{14}{24}-\dfrac{15}{24}\)
\(=-\dfrac{1}{24}\)
d,\(\left(2\dfrac{1}{3}+1\dfrac{3}{4}\right).\dfrac{12}{13}\)
\(=\left(\dfrac{7}{3}+\dfrac{7}{4}\right).\dfrac{12}{13}\)
\(=\left(\dfrac{28}{12}+\dfrac{21}{12}\right).\dfrac{12}{13}\)
\(=\dfrac{49}{12}.\dfrac{12}{13}\)
\(=\dfrac{49}{13}\)
a) \(\dfrac{5}{6}+\left(\dfrac{-1}{2}\right)+\dfrac{3}{4}\)
\(=\dfrac{10}{12}-\dfrac{6}{12}+\dfrac{9}{12}\)
\(=\dfrac{13}{12}\)
b) \(\left(0,75-\dfrac{1}{3}\right):\dfrac{7}{15}\)
\(=\left(\dfrac{3}{4}-\dfrac{1}{3}\right).\dfrac{15}{7}\)
\(=\left(\dfrac{9}{12}-\dfrac{4}{12}\right).\dfrac{15}{7}\)
\(=\dfrac{5}{12}.\dfrac{15}{7}\)
\(=\dfrac{25}{28}\)
c) \(\dfrac{7}{12}-\dfrac{3}{4}.\dfrac{5}{6}\)
\(=\dfrac{7}{12}-\dfrac{5}{8}\)
\(=\dfrac{14}{24}-\dfrac{15}{24}\)
\(=\dfrac{-1}{24}\)
d) \(\left(2\dfrac{1}{3}+1\dfrac{3}{4}\right).\dfrac{12}{13}\)
\(=\left(\dfrac{7}{3}+\dfrac{7}{4}\right).\dfrac{12}{13}\)
\(=\left(\dfrac{28}{12}+\dfrac{21}{12}\right).\dfrac{12}{13}\)
\(=\dfrac{49}{12}.\dfrac{12}{13}\)
\(=\dfrac{49}{13}\)
a,\(\dfrac{13}{12}\)
b,\(\dfrac{25}{28}\)
c,\(\dfrac{-1}{24}\)
d,\(\dfrac{49}{13}\)
