Question

One roll of kitchen tissues is $15\dfrac{3}{4}$m long.Shreya has three complete rolls and $\dfrac{2}{3}$ of a roll. How many meters of kitchen tissue does Shreya have?

Answer 1

Hint: Here, we will first calculate the length of three complete rolls and then the length of $\dfrac{2}{3}$ of a roll.If we add these then it will give the desired answer.

Complete step-by-step answer:
Step1:The length of three complete rolls will be = $3 \times 15\dfrac{3}{4}m$
Step2: The length of $\dfrac{2}{3}$ of a roll will be =
        $\,\,\dfrac{2}{3} \times 15\dfrac{3}{4}m$

Step3:The total of the above two lengths
 $\eqalign{
  & = \,3 \times 15\dfrac{3}{4}\,\, + \,\,\dfrac{2}{3} \times 15\dfrac{3}{4} \cr
  & = \,(3 + \dfrac{2}{3}) \times 15\dfrac{3}{4}\, \cr
  & = \,\,\dfrac{{11}}{3} \times \dfrac{{63}}{4} \cr
  & = \,\dfrac{{21 \times 11}}{4} \cr
  & = \,\dfrac{{231}}{4} \cr
  & = \,57\dfrac{3}{4}m \cr} $
Therefore, Shreya have $57\dfrac{3}{4}$ meters of kitchen tissue.

Note: Here m stands for meters as it is a unit of length. We should use the concept of mixed fractions for solving this problem.