Question 110

What is the simplified value of:
$$7\frac{1}{3}\div2\frac{1}{2} of 1\frac{3}{5} - \left(\frac{3}{8} + \frac{1}{7} \times 1\frac{3}{4}\right) - \frac{5}{24}$$

Solution

Given that expression 
$$7\frac{1}{3}\div2\frac{1}{2} of 1\frac{3}{5} - \left(\frac{3}{8} + \frac{1}{7} \times 1\frac{3}{4}\right) - \frac{5}{24}$$
$$\Rightarrow \frac{22}{3}\div\frac{5}{2} of \frac{8}{5} - \left(\frac{3}{8} + \frac{1}{7} \times \frac{7}{4}\right) - \frac{5}{24}$$

$$\Rightarrow \frac{22}{3}\div\frac{4}{1}  - (\frac{3}{8} + \frac{1}{7} \times \frac{7}{4} - \frac{5}{24}$$

$$\Rightarrow \frac{11}{6} - \dfrac {3+2}{8}  - \frac{5}{24}$$

$$\Rightarrow \frac{11}{6} - \frac{5}{8} - \frac{5}{24}$$

$$\Rightarrow \dfrac{11\times 4-5\times3 -5\times1}{24}$$

$$\Rightarrow \dfrac {44-20}{24}$$

$$\Rightarrow \dfrac{24}{24}$$

$$\Rightarrow 1 $$ Ans 


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