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A carpenter has a plank 8 1/5 feet long. How many feet should be cut off to make a plank 5 7/8 feet long?

User Pugalmuni
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1 Answer

3 votes

Answer:

2 13/40 feet or 2.325 ft

Step-by-step explanation:

The length of the plank = 8⅕ feet

To determine many feet should be cut off, subtract 5⅞ feet from 8⅕ feet.


8(1)/(5)-5(7)/(8)

Step 1: Convert both fractions to improper fractions.


=(41)/(5)-(47)/(8)

Step 2: Find the lowest common multiple of the denominators 8 and 5.


\begin{gathered} =(41(8)-47(5))/(40) \\ =(328-235)/(40) \\ =(93)/(40) \\ =2(13)/(40)\text{ feet} \end{gathered}

2 13/40 feet of the plank should be cut off.

User Adnan Karim
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