kayleengregg9608 kayleengregg9608
  • 23-09-2019
  • Mathematics
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Tyler cut 40 1/8 inch board into 3 pieces of equal length. He then cut 3 3/4 iches off of each piece to make smaller boards. What is the length of each smaller boards?

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luchoprat
luchoprat luchoprat
  • 23-09-2019

Answer:

[tex]9\frac{5}{8}\ inches[/tex]

Step-by-step explanation:

The original board is 40 1/8 inch and it is cut in 3 pieces of equal length:

New boards = [tex]40\frac{1}{8} : 3 = \frac{321}{8} * \frac{1}{3} = \frac{107}{8}[/tex]

And now he cuts again 3 3/4 inches off of each one of the new boards (substracts)

[tex]\frac{107}{8} - 3\frac{3}{4} =\frac{107}{8} -\frac{15}{4} =\frac{107-30}{8} =\frac{77}{8} =9\frac{5}{8} \ inches[/tex]

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