Question

The value of $\frac{1}{3}of4\frac{2}{3}$ $÷$ $2\frac{1}{3}of1\frac{1}{2}$ is

• A. 1
• B. 2
• C. 3
• D. None of these

Answer 1

The correct option is D None of these

$\frac{1}{3}of4\frac{2}{3}$ $÷$ $2\frac{1}{3}of1\frac{1}{2}$

$=\frac{1}{3}\times 4\frac{2}{3}÷2\frac{1}{3}of\frac{1}{2}$

$=\frac{14}{9}÷\frac{7}{3}of\frac{3}{2}$

$=\frac{14}{9}÷\frac{7}{3}\times \frac{3}{2}$

$=\frac{14}{9}÷\frac{7}{2}$

$=\frac{14}{9}\times \frac{2}{7}$

$=\frac{4}{9}$

$\text{option D (None of these) is correct}$