Question

What is 1/8 divided by 3?

Answer 1

Hint: To find the value of 1/8 divided by 3, we have to denote it as $\dfrac{1}{8}\div 3$ . When we have to multiply fractions, we have to change the division sign to multiplication sign meanwhile, we have to take the reciprocal of 3. Then, we have to simplify.

Complete step by step solution:
We have to find the value of 1/8 divided by 3. We can denote this as
$\dfrac{1}{8}\div 3$
When we have to multiply fractions, we have to change the division sign ( $\div $ ) to multiplication sign ( $\times $ ). At the same time, we have to take the reciprocal of 3. We know that reciprocal of a number, say, a is given as $\dfrac{1}{a}$ . Hence, the reciprocal of 3 will be $\dfrac{1}{3}$ .
Therefore, we can write the above form as
$\Rightarrow \dfrac{1}{8}\times \dfrac{1}{3}$
Let us simplify this.
$\Rightarrow \dfrac{1}{24}$

Note: Students must never forget to change the division sign to multiplication sign. They may make mistakes by multiplying them directly without taking the reciprocal of the divisor. We can also convert the fractional form into decimal value. Let us divide 1 by 24. 1 will be the dividend and 24 will be the divisor.
\[24\overset{0.0416}{\overline{\left){\begin{align}
  & 1.0000 \\
 & -0 \\
 & \_\_\_\_ \\
 & 10 \\
 & -0 \\
 & \_\_\_\_\_ \\
 & 100 \\
 & -96 \\
 & \_\_\_\_\_ \\
 & \begin{matrix}
   {} & 40 \\
\end{matrix} \\
 & \begin{matrix}
   {} & -24 \\
\end{matrix} \\
 & \_\_\_\_\_\_\_\_ \\
 & \begin{matrix}
   {} & \text{ }160 \\
\end{matrix} \\
 & \begin{matrix}
   {} & -144 \\
\end{matrix} \\
 & \_\_\_\_\_\_\_\_ \\
 & \begin{matrix}
   {} & 16 \\
\end{matrix} \\
\end{align}}\right.}}\]
We will consider only a few decimal places as we can see that the remainder 16 repeats further. We added 0 after the decimal point since we did not get remainder as zero.
Therefore, $\dfrac{1}{24}=0.0416$
Usually, we have to find till 3 decimal places only.