a) \(\dfrac{5}{6}+\dfrac{3}{2}\cdot\dfrac{4}{5}\)
\(=\dfrac{5}{6}+\dfrac{3\cdot2\cdot2}{2\cdot5}\)
\(=\dfrac{5}{6}+\dfrac{6}{5}\)
\(=\dfrac{61}{30}\)
b) \(\dfrac{6}{7}:\dfrac{9}{14}-1\)
\(=\dfrac{6}{7}\cdot\dfrac{14}{9}-1\)
\(=\dfrac{2\cdot3\cdot7\cdot2}{7\cdot3\cdot3}-1\)
\(=\dfrac{4}{3}-1\)
\(=\dfrac{1}{3}\)
a) \(\dfrac{5}{6}+\dfrac{3}{2}.\dfrac{4}{5}=\dfrac{5}{6}+\dfrac{6}{5}=\dfrac{61}{30}\)
b) \(\dfrac{6}{7}:\dfrac{9}{14}-1=\dfrac{4}{3}-1=\dfrac{1}{3}\)