Question

Find the sum of $-\frac{5}{2}$ and $\frac{2}{3}$

• A. $\frac{-11}{6}$
• B. $\frac{19}{5}$
• C. $\frac{11}{6}$
• D. $\frac{-19}{6}$

Answer 1

The correct option is A

$\frac{-11}{6}$

Sum of $-\frac{5}{2}$ and $\frac{2}{3}$

= $\frac{-5}{2}$ + $\frac{2}{3}$

= $\frac{-5\times 3}{2\times 3}$ + $\frac{2\times 2}{3\times 2}$($\because$ LCM of 2 and 3 = 6)
= $\frac{-15}{6}$ + $\frac{4}{6}$

= $\frac{-15+4}{6}$

= $\frac{-11}{6}$