Question

What is the two-third of 42?

Answer 1

HINT:- For solving this question, we will be following the steps that are given below. To calculate “two-third” of a number means that to calculate \[\dfrac{2}{3}\] of that number,
Here, and in other such calculations also, the word ‘of’ refers to multiply.

Complete step-by-step solution -
So, to calculate or to find two-third of a number means to multiply \[\dfrac{2}{3}\] by the number, i.e. multiply that number by \[\dfrac{2}{3}\].
For the solution to this question, we shall find two-third or \[\dfrac{2}{3}\] of 42 by this method only.
Let us now solve this question by the above-mentioned method.
We need to find two-third of the number 42.
Here is the calculation:-
\[\begin{align}
  & \Rightarrow \dfrac{2}{3}\ \ of\ \ 42 \\
 & \Rightarrow \dfrac{2}{3}\ \ \times \ \ 42 \\
 & \Rightarrow 2\ \ \times \ \ 14 \\
 & \Rightarrow 28 \\
\end{align}\]
So, two – third or \[\dfrac{2}{3}\] of 42 is the number 28.
So, after doing the solution above, we can conclude that the answer to this question is 28, in other words, we can say that 28 is the answer to this question.

Note: When we solve such kind of questions, we usually follow the same method as this is an easy way of solving these kinds of questions. Let us take another example. Say we need to find ‘one fifth of two sixth of three fourth of 48’ we shall find it by the below demonstrated method:-
\[\begin{align}
  & \Rightarrow \dfrac{1}{5}\ \ of\ \ \dfrac{2}{6\ }\ \ of\ \ \dfrac{3}{4}\ \ of\ \ 48 \\
 & \Rightarrow \dfrac{1}{5}\ \ \times \ \ \dfrac{2}{6\ }\ \ \times \ \ \dfrac{3}{4}\ \ \times \ \ 48 \\
 & \Rightarrow \dfrac{1}{5}\ \ \times \ \ \dfrac{2}{6\ }\ \ \times \ \ 3\ \ \times \ \ 12 \\
 & \Rightarrow \dfrac{1}{5}\ \ \times \ \ \dfrac{2}{6\ }\ \ \times \ \ 36 \\
 & \Rightarrow \dfrac{1}{5}\ \ \times \ \ 2\ \ \times \ \ 6 \\
 & \Rightarrow \dfrac{1}{5}\ \ \times \ \ 12 \\
 & \Rightarrow \dfrac{12}{5} \\
\end{align}\]
So, ‘one-fifth of two sixth of three fourth of 48’ is \[\dfrac{12}{5}\].
So, this is how we solve these kinds of questions.
Also, one must remember that in such questions, the word “of” refers to “multiply”.