Question

Evaluate

$-8\frac{1}{3}+2\frac{3}{7}$

Answer 1

Given, $-8\frac{1}{3}+2\frac{3}{7}$

Now,

$$\begin{gathered} -8\frac{1}{3}+2\frac{3}{7}=\frac{-25}{3}+\frac{17}{7} \\ =\frac{-25\times 7}{3\times 7}+\frac{17\times 3}{7\times 3}\{\sin ceLCM(3,7)=21\} \\ =\frac{-175}{21}+\frac{51}{21} \\ =\frac{-175+51}{21} \\ =\frac{-124}{21} \\ =-5\frac{19}{21} \end{gathered}$$

Hence, the required answer is $-5\frac{19}{21}$.