Question

Find the sum of $\frac{-2}{3}+\frac{5}{3}+\frac{11}{4}.$

• A. $1\frac{3}{4}$
• B. $3\frac{1}{4}$
• C. $3\frac{3}{5}$
• D. $3\frac{3}{4}$

Answer 1

The correct option is D $3\frac{3}{4}$

The LCM of $3$ and $4$ is $12$.
So, $\frac{-2}{3}+\frac{5}{3}+\frac{11}{4}=\frac{-2\times 4+5\times 4+11\times 3}{12}=\frac{-8+20+33}{12}=\frac{45}{12}=\frac{15}{4}=3\frac{3}{4}$