Question

The expression of the division $\dfrac{{\dfrac{1}{3}}}{{\dfrac{3}{4}}}$ equals ______
A. $\dfrac{4}{9}$
B. $\dfrac{4}{5}$
C. $\dfrac{1}{3}$
D. $\dfrac{1}{4}$

Answer 1

Hint:
For the division of fractions, we take the reciprocal of the divisor and then multiply it with the dividend using the multiplication of fractions.

Complete step by step solution:
Here the divisor is $\dfrac{3}{4}$. Now, the reciprocal of $\dfrac{3}{4}$ is $\dfrac{4}{3}$ .
Now, multiplying the reciprocal of divisor with the $\dfrac{1}{3}$ using multiplication of fractions
$
  \dfrac{1}{3} \times \dfrac{4}{3} \Rightarrow \dfrac{{1 \times 4}}{{3 \times 3}} \\
   \Rightarrow \dfrac{4}{9} \\
 $

Therefore, the correct answer is A.

Note:
Always remember to take the reciprocal of the divisor before multiplying it with the dividend. Not following this, is a very common mistake.