Calculate:
- $$\dfrac{6}{7}:\Big(-\dfrac{5}{11}\Big)$$
- $$\dfrac{-9}{10}:\Big(-\dfrac{2}{5}\Big)$$
See development and solution
Development:
- $$\dfrac{6}{7}:\Big(-\dfrac{5}{11}\Big)=\dfrac{6}{7}\cdot\Big(-\dfrac{11}{5}\Big)=\dfrac{6\cdot(-11)}{7\cdot5}=\dfrac{-66}{35}.$$
- $$\dfrac{-9}{10}:\Big(-\dfrac{2}{5}\Big)=\dfrac{-9}{10}\cdot\Big(-\dfrac{5}{2}\Big)=\dfrac{(-9)\cdot(-5)}{10\cdot2}=\dfrac{45}{20}=\dfrac{9}{4}.$$
Solution:
- $$\dfrac{-66}{35}$$
- $$\dfrac{9}{4}$$