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Answer:

1/26 meter

Step-by-step explanation:

You would start by dividing 1/4 by 6. You'd have to multiply 1/4 by the reciprocal of 6 (the reciprocal of 6 would be 1/6). Then you get (1/4) * (1/6), which is equal to 1/24.

Carpenter should cut each piece of wooden board measuring [tex]\frac{1}{24}[/tex] meter.

Let the length of each piece = x meters

Since, the number of pieces (of equal length) of the wooden board = 6

Therefore, total length of wooden board = 6x

It's given in the question that the length of the wooden board is [tex]\frac{1}{4}[/tex] meter.

Therefore, 6x = [tex]\frac{1}{4}[/tex]

[tex]\frac{6x}{6}=\frac{1}{4\times 6}[/tex]

[tex]x=\frac{1}{24}[/tex] meter

    Hence, carpenter should cut each piece of wooden board measuring [tex]\frac{1}{24}[/tex] meter.

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