Question

Sushant reads $\dfrac{1}{3}$ part of a book in 1 hour. How much of the book will he read in $2\dfrac{1}{5} \, hours$?

Answer 1

Hint: Here, first of all we need to convert the mixed number into a fractional number. For that, multiply the denominator of the fraction part with the whole number and add the numerator to the result and divide the whole term by the denominator of the fractional term. Now, we can use the method of cross multiplication for finding our answer.

Complete step by step solution:
In this question, we are given that Sushant reads $\dfrac{1}{3}$ part of a book in 1 hour and we are asked how much part of the book he will read in $2\dfrac{1}{5}hours$.
Now, we are given time in mixed numbers. So, we need to convert it into a fraction. Mixed numbers are those numbers that have a part whole number and a part fraction number.
To convert a mixed number into a fractional number, we multiply the denominator of the fraction part with the whole number and add the numerator to the result and divide the whole term by the denominator of the fractional term. So, therefore
$ \Rightarrow 2\dfrac{1}{5} = \dfrac{{5 \times 2 + 1}}{5} = \dfrac{{10 + 1}}{5} = \dfrac{{11}}{5}$
Now, to find how much part of the book he will read in $\dfrac{{11}}{5}$ hours we need to use the method of cross multiplication.
$
  \dfrac{1}{3}part = 1hour \\
  ? \, part = \dfrac{{11}}{5}hours \\
 $
Therefore,
$ \Rightarrow $ Part read by Sushant in $\dfrac{{11}}{5}$ hours $ = \dfrac{{11}}{5} \times \dfrac{1}{3} = \dfrac{{11}}{{15}}$.
Hence, Sushant will read $\dfrac{{11}}{{15}}$ part of the book in $2\dfrac{1}{5}$ hours.

Note:
Here, the most important part in this question is converting the time from a mixed number into a fractional number. If the other number was also given in mixed number form, then there would have been no need for converting it. But we need to take care that both the values of time are in the same form.