Question

What is the value of $\dfrac{5}{8}$ 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 condition that the wording $'a'$ of $'b'$ is represented as $a\times b$ because ‘of’ is used for multiplication.
By using the above condition to the given numbers we get the required value as,
$\Rightarrow x=\dfrac{5}{8}\times \left( 40 \right)$
Now, let us rearrange the terms in the above equation such that 40 and 8 can be in division then we get,
$\Rightarrow x=5\times \left( \dfrac{40}{8} \right)$
Here, we can see that the numbers 40 and 8 are in division in which the quotient will be 5.
So, by taking the required quotient in above equation then we get,
$\begin{align}
  & \Rightarrow x=5\times 5 \\
 & \Rightarrow x=25 \\
\end{align}$
Therefore, the required value that is $\dfrac{5}{8}$ of 40 is given as 25 that is,
$\therefore \dfrac{5}{8}\text{ of }40=25$

Note: We can have another explanation for this problem.
We know that $\dfrac{5}{8}$ of 40 can be recreated as that 5 times the ${{8}^{th}}$ part of 40.
Let us assume that ${{8}^{th}}$ part of 40 as $'x'$
So, we can write the given question as 5 times of $'x'$
We know that ${{8}^{th}}$ part of 40 is the quotient of 40 divided by 8. By using this condition we get the value of $'x'$ as
$\begin{align}
  & \Rightarrow x=\dfrac{40}{8} \\
 & \Rightarrow x=5 \\
\end{align}$
Now, let us assume that the 5 times of $'x'$ as $'y'$
We know that the condition that the wording $'a'$ times $'b'$ is represented as $a\times b$
By using the above condition we get the value of $'y'$ as,
$\begin{align}
  & \Rightarrow y=5\times x \\
 & \Rightarrow y=5\times 5 \\
 & \Rightarrow y=25 \\
\end{align}$
Therefore, the required value that is $\dfrac{5}{8}$ of 40 is given as 25 that is,
$\therefore \dfrac{5}{8}\text{ of }40=25$