8.9k views
2 votes
If a board 8 ¾ ft. long is cut into 7 equal parts, how long is each part?

User Bamnet
by
7.5k points

1 Answer

0 votes

Answer:

26 5/32 in. or 2 ft

Explanation:

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.

User Dfmuir
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories