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# What is the value of $\dfrac{1}{3}\div 4$?

Last updated date: 18th Jul 2024
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Hint: First we will assume the value of the given expression as y. Now, we will consider $\dfrac{1}{3}$ as the dividend and 4 as the divisor. We will take the reciprocal of 4 by interchanging its numerator and denominator and multiply it with $\dfrac{1}{3}$ to get the answer. We will consider the denominator of 4 equal to 1.

Here we have been asked to find the value of the expression $\dfrac{1}{3}\div 4$. Let us assume the value of this expression as y, so we have,
$\Rightarrow y=\dfrac{1}{3}\div 4$
Here we have $\dfrac{1}{3}$ as the dividend while 4 is the divisor. So, to divide a given number/fraction by another number/fraction means, we have to multiply the first number (dividend) with the reciprocal of the second number (divisor). So we need to find the reciprocal of 4 in the first step. The term reciprocal means the inverse of the given number/fraction, obtained by interchanging the numerator and the denominator of the number/fraction.
We can write 4 as $\dfrac{4}{1}$ in the fractional form so inter-changing the numerator (4) and the denominator (1) we get $\dfrac{1}{4}$ as the required reciprocal of divisor. Therefore, multiplying $\dfrac{1}{3}$ with $\dfrac{1}{4}$ and simplifying we get,
\begin{align} & \Rightarrow y=\dfrac{1}{3}\times \dfrac{1}{4} \\ & \therefore y=\dfrac{1}{12} \\ \end{align}
Hence, $\dfrac{1}{12}$ is our answer.