Question

(-3/4 + 2/5) : 3/7 + (3/5 + -1/4) : 3/7

Answer 1

\(\left(-\dfrac{3}{4}+\dfrac{2}{5}\right):\dfrac{3}{7}+\left[\dfrac{3}{5}+\left(-\dfrac{1}{4}\right)\right]:\dfrac{3}{7}\)

\(=\left(-\dfrac{3}{4}+\dfrac{2}{5}\right):\dfrac{3}{7}+\left(\dfrac{3}{5}-\dfrac{1}{4}\right):\dfrac{3}{7}\)

\(=-\dfrac{7}{20}:\dfrac{3}{7}+\dfrac{7}{20}:\dfrac{3}{7}\)

\(=-\dfrac{7}{20}.\dfrac{7}{3}+\dfrac{7}{20}.\dfrac{7}{3}=\left(-\dfrac{7}{20}+\dfrac{7}{20}\right).\dfrac{7}{3}\)

\(=0.\dfrac{7}{3}=0\)