Question 70

The value of $$423 \div \left[270 \div \frac{3}{7} \times 35 + \left(17 \div \frac{1}{3}\right) - \left(8\frac{1}{2} - \frac{5}{2}\right)\right]$$ is:

Solution

$$423\div\left[270\div\frac{3}{7}\times35+\left(17\div\frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]$$

= $$423\div\left[270\div\frac{3}{7}\times35+51-6\right]$$

= $$423\div\left[270\times\frac{7}{3}\times35+51-6\right]$$

= $$423\div\left[22050+51-6\right]$$

= $$423\div22095$$

= $$\frac{423}{22095}$$

= $$\frac{47}{2455}$$

Hence, the correct answer is Option B


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