Dividing fractions

Calculate:

  1. $\dfrac{6}{7}:\Big(-\dfrac{5}{11}\Big)$
  2. $\dfrac{-9}{10}:\Big(-\dfrac{2}{5}\Big)$
  1. $\dfrac{6}{7}:\Big(-\dfrac{5}{11}\Big)=\dfrac{6}{7}\cdot\Big(-\dfrac{11}{5}\Big)=\dfrac{6\cdot(-11)}{7\cdot5}=\dfrac{-66}{35}.$
  2. $\dfrac{-9}{10}:\Big(-\dfrac{2}{5}\Big)=\dfrac{-9}{10}\cdot\Big(-\dfrac{5}{2}\Big)=\dfrac{(-9)\cdot(-5)}{10\cdot2}=\dfrac{45}{20}=\dfrac{9}{4}.$
  1. $\dfrac{-66}{35}$
  2. $\dfrac{9}{4}$
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