Question

What is $\dfrac{1}{4}$ of 40?

Answer 1

Hint: Use the condition that the wording $'a'$ of $'b'$ is represented as $a\times b$ because ‘of’ is used for multiplication. Use the above condition to the given numbers and find the required value using the multiplications and divisions wherever necessary.

Complete step-by-step solution:
Let us assume that the required value as $'x'$
We know that the wording ‘of’ is used for the multiplication of two numbers that is $'a'$ of $'b'$ is represented as $a\times b$
By using the above condition to the given numbers we get the required value as,
$\Rightarrow x=\dfrac{1}{4}\times \left( 40 \right)$
Now, let us rearrange the terms in the above equation such that 40 and 4 can be in division then we get,
$\Rightarrow x=\left( \dfrac{40}{4} \right)$
Here, we can see that the numbers 40 and 4 are in division in which the quotient will be 10.
So, by taking the required quotient in above equation then we get,
$\Rightarrow x=10$
Therefore, the required value that is $\dfrac{1}{4}$ of 40 is given as 10 that is,
$\therefore \dfrac{1}{4}\text{ of }40=10$

Note: We can have another explanation for this problem.
We know that $\dfrac{1}{4}$ of 40 can be recreated as that the ${{4}^{th}}$ part of 40 which is also means that if the number 40 is divided 4 parts equally then the number in each part is the required answer.
Let us assume that ${{4}^{th}}$ part of 40 as $'x'$
We know that ${{4}^{th}}$ part of 40 is nothing but the quotient of 40 when divided by 4.
By using this condition we get the required value of $'x'$ as
$\begin{align}
  & \Rightarrow x=\dfrac{40}{4} \\
 & \Rightarrow x=10 \\
\end{align}$
Therefore, the required value that is $\dfrac{1}{4}$ of 40 is given as 10 that is,
$\therefore \dfrac{1}{4}\text{ of }40=10$