Question 62

What is the value of $$\left[\frac{4}{5} \div \frac{5}{8} - \frac{7}{5} + \frac{2}{15}  of  \left(\frac{3}{2} \div \frac{4}{5}\right)\right]$$?

Solution

$$\left[\dfrac{4}{5} \div \dfrac{5}{8} - \dfrac{7}{5} + \dfrac{2}{15}  of  \left(\dfrac{3}{2} \div \dfrac{4}{5}\right)\right]$$ 

$$= \dfrac{4}{5}\times\dfrac{8}{5} - \dfrac{7}{5} + \dfrac{2}{15} \times \dfrac{3}{2} \times \dfrac{5}{4} $$

$$= \dfrac{32}{25} - \dfrac{7}{5} + \dfrac{1}{4} = \dfrac{128-140+25}{100} = \dfrac{13}{100}$$


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