Answered

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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?

Sagot :

Answer:

2 13/40 feet or 2.325 ft

Explanation:

The length of the plank = 8⅕ feet

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

[tex]8\frac{1}{5}-5\frac{7}{8}[/tex]

Step 1: Convert both fractions to improper fractions.

[tex]=\frac{41}{5}-\frac{47}{8}[/tex]

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

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

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

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