If a piece of wood 8 3/4 ft long is to be cut into four equal pieces , find the length of each piece

Question

Allow 1/8 in. for each saw cut

Answer 1

Since we are taking into account 1/8in for each saw cut the total length of the 4 pieces of wood will be 3/8in less than the single long piece (3 cuts * 1/8).

Let's first convert the piece of wood to inches:

8 3/4ft = 8.75ft

8.75 ft *(12in./1ft) => 8.75 *12= 105 inches

Now we can subtract the 3/8in that will be lost from making 3 cuts:

105in. - 3/8in. = 104 5/8in.

So the total length of the 4 pieces of wood will be 104 5/8in.

Therefore, each piece will be (104 5/8in)/4 in length.

First let's convert 104 5/8in. to an improper fraction to make it easier to work with:

104 5/8in. = (104*8 + 5)/8in.

=837/8in.

Now we can divide this by 4 to get the length of each piece of wood:

(837/8in.)/4 is the same as (837/8in.)*(1/4)

Multiply numerators together, and multiply the denominators together:

(837/8in.)*(1/4) = 837/32in.

Convert back to a mixed number if needed:

837/32in.= 26 5/32in. or 2ft, 2 5/32in.