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
657.3k+ views
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.
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.
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