Question

What fraction lies exactly halfway between $\frac{2}{3}$ and $\frac{3}{4}$?

• A. $\frac{5}{6}$
• B. $\frac{17}{4}$
• C. $\frac{7}{12}$
• D. $\frac{3}{5}$

Answer 1

The correct option is B $\frac{17}{4}$

Consider $3\times 4=12$
So,
$\frac{2}{3}=\frac{8}{12}$
$\frac{3}{4}=\frac{9}{12}$
Multiplying the numerator and denominatoe by 2
$\frac{16}{24},\frac{18}{24}$
The midpoing is $\frac{17}{24}$
Therefore, the correct option is D.