Question 51

Simplify the following expression.
$$\frac{135\div\frac{1}{3} of 5-2\frac{2}{3}\div1\frac{1}{3}+6}{\left(15^{2}+9\div3\right)-\left(10-5\times\frac{2}{5}\right)}$$

Solution

Given,

$$\frac{135\div\frac{1}{3} of 5-2\frac{2}{3}\div1\frac{1}{3}+6}{\left(15^{2}+9\div3\right)-\left(10-5\times\frac{2}{5}\right)}$$

We will solve according to the rule of BODMAS,

= $$\frac{135\div\frac{5}{3}-2\frac{2}{3}\div1\frac{1}{3}+6}{\left(225+3\right)-\left(10-2\right)}$$

= $$\frac{81-2+6}{\left(228\right)-\left(8\right)}$$

$$=\frac{85}{220}$$

$$=\frac{17}{44}$$

Hence, Option C is correct

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Simplify the following expression.$$\frac{135\div\frac{1}{3} of 5-2\frac{2}{3}\div1\frac{1}{3}+6}{\left(15^{2}+9\div3\right)-\left(10-5\times\frac{2}{5}\right)}$$