Question 63

If $$A = \frac{2}{3} + \frac{4}{7} of \frac{14}{12}$$ and $$B = \frac{5}{12}$$ of $$\frac{7}{15} \times \frac{36}{21}$$, then what is the value of A + B?

Solution

$$A = \frac{2}{3} + \frac{4}{7} of \frac{14}{12}$$

$$A=\frac{2}{3}+\frac{4}{7}\times\frac{14}{12}$$

$$A=\frac{2}{3}+\frac{2}{3}$$

$$A=\frac{4}{3}$$ Eq.(i)

$$B = \frac{5}{12}$$ of $$\frac{7}{15} \times \frac{36}{21}$$

$$B=\frac{5}{12}\times\ \frac{7}{15}\times\frac{36}{21}$$

$$B=\frac{1}{3}$$ Eq.(ii)

value of A + B = Eq.(i)+ Eq.(ii)

= $$\frac{4}{3}+\frac{1}{3}$$

= $$\frac{5}{3}$$

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