Question

What is the value of ${\displaystyle \frac{5}{8}}$ of 40?

Answer 1

Hint: Use the condition that the wording ${}^{\prime }{a}^{\prime }$ of ${}^{\prime }{b}^{\prime }$ 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 ${}^{\prime }{x}^{\prime }$
We know that the condition that the wording ${}^{\prime }{a}^{\prime }$ of ${}^{\prime }{b}^{\prime }$ 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,
$\Rightarrow x={\displaystyle \frac{5}{8}}\times \left(40\right)$
Now, let us rearrange the terms in the above equation such that 40 and 8 can be in division then we get,
$\Rightarrow x=5\times \left({\displaystyle \frac{40}{8}}\right)$
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,
$\begin{array}{rl}& \Rightarrow x=5\times 5\\ & \Rightarrow x=25\end{array}$
Therefore, the required value that is ${\displaystyle \frac{5}{8}}$ of 40 is given as 25 that is,
$\therefore {\displaystyle \frac{5}{8}}\text{ of }40=25$

Note: We can have another explanation for this problem.
We know that ${\displaystyle \frac{5}{8}}$ 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 ${}^{\prime }{x}^{\prime }$
So, we can write the given question as 5 times of ${}^{\prime }{x}^{\prime }$
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 ${}^{\prime }{x}^{\prime }$ as
$\begin{array}{rl}& \Rightarrow x={\displaystyle \frac{40}{8}}\\ & \Rightarrow x=5\end{array}$
Now, let us assume that the 5 times of ${}^{\prime }{x}^{\prime }$ as ${}^{\prime }{y}^{\prime }$
We know that the condition that the wording ${}^{\prime }{a}^{\prime }$ times ${}^{\prime }{b}^{\prime }$ is represented as $a\times b$
By using the above condition we get the value of ${}^{\prime }{y}^{\prime }$ as,
$\begin{array}{rl}& \Rightarrow y=5\times x\\ & \Rightarrow y=5\times 5\\ & \Rightarrow y=25\end{array}$
Therefore, the required value that is ${\displaystyle \frac{5}{8}}$ of 40 is given as 25 that is,
$\therefore {\displaystyle \frac{5}{8}}\text{ of }40=25$