$$\frac{2}{3}-\frac{5}{7}$$ of $$\frac{21}{23}$$ of $$\frac{46}{51} = ?$$ of $$\frac{8}{85}$$

Solution

Expression : $$\frac{2}{3}-\frac{5}{7}$$ of $$\frac{21}{23}$$ of $$\frac{46}{51} = ?$$ of $$\frac{8}{85}$$

=> $$\frac{2}{3} - (\frac{5}{7} \times \frac{21}{23} \times \frac{46}{51}) = x \times \frac{8}{85}$$

=> $$\frac{2}{3} - \frac{10}{17} = \frac{8x}{85}$$

=> $$\frac{4}{51} = \frac{8x}{85}$$

=> $$x = \frac{4 \times 85}{51 \times 8}$$

=> $$x = \frac{5}{6}$$

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