Problems from Dividing fractions

Calculate:

  1. $$\dfrac{6}{7}:\Big(-\dfrac{5}{11}\Big)$$
  2. $$\dfrac{-9}{10}:\Big(-\dfrac{2}{5}\Big)$$
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Development:

  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. $$\dfrac{-9}{10}:\Big(-\dfrac{2}{5}\Big)=\dfrac{-9}{10}\cdot\Big(-\dfrac{5}{2}\Big)=\dfrac{(-9)\cdot(-5)}{10\cdot2}=\dfrac{45}{20}=\dfrac{9}{4}.$$

Solution:

  1. $$\dfrac{-66}{35}$$
  2. $$\dfrac{9}{4}$$
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