Question

How many months are there in ${\displaystyle \frac{2}{5}}$ th of a century?

Answer 1

Hint: In order to find the number of months, we should calculate the number of months in a century. Then we can determine how months are there in ${\displaystyle \frac{2}{5}}$ th of a century. We use the following relations to simplify-
1 century = 100 years

Complete step-by-step answer:
Given Data,
 ${\displaystyle \frac{2}{5}}$ th of a century
We know a single year consists of 12 months.
1 year = 12 months
Also we know the term century is referred to denote the value 100.
Therefore 1 century = 100 years
Now we express century in terms of number of months;
1 century = 100 × 12 months
1 century = 1200 months
To find the number of months in ${\displaystyle \frac{2}{5}}$ th of a century
 $$\begin{gathered} \Rightarrow {\displaystyle \frac{2}{5}}\times 1200 \\ \Rightarrow 2\times 240 \\ \Rightarrow 480 \end{gathered}$$
Therefore the number of months in ${\displaystyle \frac{2}{5}}$ th of a century is 480 months.

Note: In order to solve this type of question the key is to know the respective conversions of the data given in the question. Knowing one century means a hundred and one year has 12 months is the key step to the problem.
Later we just express one century in the number of months with the help of given conversions and just find the fraction of century that was asked in terms of the number of months.
A few more day to day life general conversions asked in problems like these are as follows:
1 day = 24 hours
1 week = 7 days
1 year = 365 days
1 hour = 60 minutes
1 decade = 10 years etc.