Question

How do you find the quotient of $4$ divided by ${\displaystyle \frac{3}{8}}$?

Answer 1

Hint:
Here we need to know that when we divide $a\text{ by }b$ then $a$ is known as the dividend and $b$ is called the divisor and the result we get is called the quotient. So we just need to divide the number $4$ by ${\displaystyle \frac{3}{8}}$ and get the value required.

Complete step by step solution:
Here we are given to find the quotient of $4$ divided by${\displaystyle \frac{3}{8}}$
Hence we need to divide two numbers and get the quotient. We need to know that when we divide $a\text{ by }b$ then $a$ is known as the dividend and $b$ is called the divisor and the result we get is called the quotient. The example will make it clearer.
For example: If we divide the number $10\text{ by 5}$ we get the result as $2$
So here we can say that $10$ is the dividend and $5$ is the divisor and $2$ is the quotient.
Similarly we need to divide these given two number which is given as $4$ divided by${\displaystyle \frac{3}{8}}$ we will get:
$4÷{\displaystyle \frac{3}{8}}$
This can be written as:
$4\times {\displaystyle \frac{8}{3}}$
We have written it like this because we know that when we change division into multiplication the term is reciprocated.
Hence now we just need to solve and we will get the quotient which is required to us.
$4\times {\displaystyle \frac{8}{3}}={\displaystyle \frac{32}{3}}$

Hence we get the quotient$={\displaystyle \frac{32}{3}}$

Note:
If the student is asked to find the divisor, dividend, quotient or remainder when three of these are given and one term is to be found he can use the formula which is:
$\text{dividend}=\text{divisor}\times \text{quotient}+\text{remainder}$