Question

If we add $\frac{2}{3}+\frac{3}{4}$ the result will be:

• A. $\frac{11}{23}$
• B. $\frac{17}{12}$
• C. $\frac{15}{10}$
• D. $\frac{27}{32}$

Answer 1

The correct option is B $\frac{17}{12}$

The two denominators are 3 and 4.
Hence, LCM of 3 and 4 = 12
Therefore, multiplying $\frac{2}{3}$ by $\frac{4}{4}$ and $\frac{3}{4}$ by $\frac{3}{3}$, we get:

$\frac{8}{12}+\frac{9}{12}$

$=\frac{8+9}{12}$

$=\frac{17}{12}$