# a piece of lumber is 2 and 1/4 feet long and is cut into 3 equal pieces how long is each piece of wood ?

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• 2 = 4/4

2 and 1/4 = 4/4 + 4/4 + 1/4 = 9/4

(9/4)/3 = 9/(4*3) = 9/12 = 3/4

The first answer is the elementary arithmetic answer that ignores the real world. Divide the length 2 1/4 feet = 27 inches by 3

Ans: 9 inches = 3/4 feet

The second answer takes into account the wood lost due to the thickness of the saw blade. Since that thickness is not given, assume a kerf = 1/8 inch which is a common thickness of the blade of a powered miter saw. There are two crosscuts required so 1/8 + 1/8 = 1/4" of length will be lost. The length of the cut pieces will be (27-1/4)/3

Ans: 8 11/12 inches ≈ 8.92 inches ≈ 0.743 feet

• 2 feet+1/4 feet=9/4 feet

1feet=12 inch

Then 9/4 feet=(9/4)×12 inch=27 inch

If we cut into 3 equal pieces then length of each equal piece= 27÷3=9 inch

• 2 1/4 = 2 times 4 + 1 = 9/4 times by 1/3 = 4/12 simplest form is 3/4 inches

• length of each cutted wood = (2 1/4)/3 = 3/4 or 0.75 ft answer//

• 2 1/4 ft=2.25*12=27"

27/3=9"

each piece will be 9".

• A piece of lumber is 2 and 1/4 feet long and is cut into 3 equal pieces.

Each piece of wood is 3/4 feet long.

• 2 and 1/4 feet  is 9/4 feet.

1/3 of that is 3/4 of a foot which is 9 inches.

• Assuming you want to use a standard tape measure:

2 ft is 24 inches, 1/4 ft is 3 inches,

24+3 = 27 inches

27 in /3 = 9 inches

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There are many ways to work this problem such as fractions, decimals, etc., and depend on what units you wanted as the final answer (which you did no specify).

Fractional Feet:

2 1/4 = 8/4 + 1/4 = 9/4 ft

9/4 (1/3) = 9/12

9/12 = 3/4 ft

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Decimal Feet (Architect/Surveyor):

2 1/4 = 2.25 ft

2.25 /3 = 0.75 ft

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Scientific (CGS):

68.58 cm/3 = 22.86 cm

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Scientific (KMS):

0.6858 m /3 = 0.2286 m

• nine inches.....like the nails.