Question

Add the following fractions :

$3\frac{3}{7}+5\frac{1}{4}+2\frac{1}{3}$

Answer 1

Given, $3\frac{3}{7}+5\frac{1}{4}+2\frac{1}{3}$

$$\begin{gathered} =\frac{24}{7}+\frac{21}{4}+\frac{7}{3} \\ =\frac{(24\times 12)+(21\times 21)+(28\times 7)}{84} \\ \Rightarrow \frac{288+441+196}{84}=\frac{925}{84} \end{gathered}$$ $($ ∵ LCM of$7,4,3$ is $84)$