
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
498k+ views
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.
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.
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