g) \(\dfrac{5}{12}\cdot\left(-\dfrac{3}{4}\right)+\dfrac{7}{12}\cdot\left(-\dfrac{3}{4}\right)\)
\(=\left(-\dfrac{3}{4}\right)\cdot\left(\dfrac{5}{12}+\dfrac{7}{12}\right)\)
\(=\left(-\dfrac{3}{4}\right)\cdot\dfrac{12}{12}\)
\(=\left(-\dfrac{3}{4}\right)\cdot1\)
\(=-\dfrac{3}{4}\)
h) \(23\dfrac{1}{4}\cdot\dfrac{7}{5}-13\dfrac{1}{4}\cdot\dfrac{7}{5}\)
\(=\dfrac{7}{5}\cdot\left(23+\dfrac{1}{4}-13-\dfrac{1}{4}\right)\)
\(=\dfrac{7}{5}\cdot\left(23-13\right)\)
\(=\dfrac{7}{5}\cdot10\)
\(=14\)
i) \(\left(-\dfrac{5}{3}\right)\cdot16\dfrac{2}{7}+\dfrac{5}{3}\cdot28\dfrac{2}{7}\)
\(=\left(-\dfrac{5}{3}\right)\cdot\left(16+\dfrac{2}{7}-28-\dfrac{2}{7}\right)\)
\(=\left(-\dfrac{5}{3}\right)\cdot\left(16-28\right)\)
\(=\left(-\dfrac{5}{3}\right)\cdot-12\)
\(=20\)
o) \(\left(-\dfrac{1}{4}+\dfrac{1}{3}\right):\dfrac{5}{4}+\left(-\dfrac{3}{4}+\dfrac{2}{3}\right):\dfrac{5}{4}\)
\(=\left(-\dfrac{1}{4}+\dfrac{1}{3}\right)\cdot\dfrac{4}{5}+\left(-\dfrac{3}{4}+\dfrac{2}{3}\right)\cdot\dfrac{4}{5}\)
\(=\dfrac{4}{5}\cdot\left(-\dfrac{1}{4}+\dfrac{1}{3}-\dfrac{3}{4}+\dfrac{2}{3}\right)\)
\(=\dfrac{4}{5}\cdot-1\cdot1\)
\(=-\dfrac{4}{5}\)
p) \(\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\cdot\dfrac{3}{5}-\left(\dfrac{5}{3}-\dfrac{1}{5}\right):\dfrac{5}{3}\)
\(=\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\cdot\dfrac{3}{5}-\left(\dfrac{5}{3}-\dfrac{1}{5}\right)\cdot\dfrac{3}{5}\)
\(=\dfrac{3}{5}\cdot\left(\dfrac{1}{3}-\dfrac{1}{5}-\dfrac{5}{3}+\dfrac{1}{5}\right)\)
\(=\dfrac{3}{5}\cdot-\dfrac{4}{3}\)
\(=-\dfrac{4}{5}\)
q) \(\left(-6,5\right)\cdot5,7+5,7\left(-3,5\right)\)
\(=5,7\cdot\left(-6,5-3,5\right)\)
\(=5,7\cdot-10\)
\(=-57\)
