Question 60

What is the value of $$\left(5 \div \frac{1}{5}  of  \frac{25}{4} + \frac{20}{3} \div \frac{100}{9}\right)$$?

Solution

$$\left(5 \div \frac{1}{5}  of  \frac{25}{4} + \frac{20}{3} \div \frac{100}{9}\right)$$

$$= 5 \div \dfrac{1}{5}\times\dfrac{25}{4} + \dfrac{20}{3} \times \dfrac{9}{100}$$ 

$$= 5 \div \dfrac{5}{4} + \dfrac{3}{5} = \dfrac{5}{5}\times4 + \dfrac{3}{5} = 4+\dfrac{3}{5} = \dfrac{20+3}{5} = \dfrac{23}{5}$$


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