Question

What is $\dfrac{4}{5}$ of 35?

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 answer:
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,
$\Rightarrow x=\dfrac{4}{5}\times \left( 35 \right)$
Now, let us rearrange the terms in the above equation such that 35 and 5 can be in division then we get,
$\Rightarrow x=4\times \left( \dfrac{35}{5} \right)$
Here, we can see that the numbers 35 and 5 are in division in which the quotient will be 7.
So, by taking the required quotient in above equation then we get,
$\begin{align}
  & \Rightarrow x=4\times 7 \\
 & \Rightarrow x=28 \\
\end{align}$
Therefore, the required value that is $\dfrac{4}{5}$ of 35 is given as 28 that is,
$\therefore \dfrac{4}{5}\text{ of 35}=28$

Note: We can have another explanation for this problem.
We know that $\dfrac{4}{5}$ of 35 can be recreated as the 4 times of ${{5}^{th}}$ part of 35 which is also means that if the number 35 is divided 5 parts equally then the 4 times number in each part is the required answer.
Let us assume that ${{5}^{th}}$ part of 35 as $'x'$
We know that ${{5}^{th}}$ part of 35 is nothing but the quotient when 35 is divided by 5.
By using this condition we get the required value of $'x'$ as
$\begin{align}
  & \Rightarrow x=\dfrac{35}{5} \\
 & \Rightarrow x=7 \\
\end{align}$
Now, we know that the required answer is 4 times the 7 which is 28.
Therefore, the required value that is $\dfrac{4}{5}$ of 35 is given as 28 that is,
$\therefore \dfrac{4}{5}\text{ of 35}=28$