Question

If the fractions $\frac{3}{5}$,$\frac{2}{11}$, $\frac{4}{7}$, $\frac{1}{3}$, $\frac{5}{6},$ and $\frac{3}{8}$are arranged in the ascending order which fraction will be at the 3rd place ?

• A. $\frac{1}{3}$
• B. $\frac{3}{5}$
• C. $\frac{2}{11}$
• D. $\frac{3}{8}$

Answer 1

Answer: (D)

$\frac{3}{8}$

LCM of the denominators of given rational numbers i.e. 5, 11, 7, 3, 6, and 8 = 9240

Now by equating the denominators we get,

$\frac{3}{5}=\frac{5652}{9240}$

$\frac{2}{11}=\frac{1680}{9240}$

$\frac{4}{7}=\frac{5280}{9240}$

$\frac{1}{3}=\frac{3080}{9240}$

$\frac{5}{6}=\frac{7700}{9240}$

$\frac{3}{8}=\frac{3465}{9240}$

Arranging them in ascending order,

$\frac{1680<3080<3465<5280<5652<7700}{9240}$

On seeing the rational numbers it is clear that the rational number at third position in ascending order is $\frac{3465}{9240}=\frac{3}{8}$

So, correct answer is option D.