Question

David a contractor needs to cut a 7 7/8 foot piece of wood into piece that are 7/8 feet long How many piece will David have ?

Answer 1

To find out how many pieces David can cut from a 7 7/8 foot piece of wood when each piece is 7/8 feet long, you can divide the total length of the wood by the length of each piece.

First, convert 7 7/8 feet to an improper fraction:

7 7/8 = 7 + 7/8 = (56/8) + (7/8) = 63/8 feet

Now, divide this by 7/8 feet:

\[
\frac{63/8}{7/8}
\]

To divide fractions, you multiply by the reciprocal of the second fraction:

\[
\frac{63/8} \times \frac{8}{7} = \frac{63 \times 8}{8 \times 7} = \frac{63}{7} = 9
\]

So, David can cut **9 pieces** of wood that are each 7/8 feet long from the 7 7/8 foot piece.