Respuesta :
Answer: The required number of pieces that can be cut is 3.6.
Step-by-step explanation: Given that a strip of paper is [tex]\dfrac{9}{10}[/tex] of an inch long and we need to cut the paper into [tex]\dfrac{3}{12}[/tex] inch pieces.
We are to find the number of pieces that we will be able to cut.
We will be using the UNITARY method to solve the given problem.
Number of pieces cut from [tex]\dfrac{3}{12}[/tex] inches of paper = 1.
So, the number of pieces cut from 1 inches will be
[tex]\dfrac{1}{\frac{3}{12}}=4.[/tex]
Therefore, the number of pieces cut from [tex]\dfrac{9}{10}[/tex] inch is given by
[tex]4\times\dfrac{9}{10}=3.6.[/tex]
Thus, the required number of pieces that can be cut is 3.6.