Question

A carpenter has a 6-foot long board. He wants to cut the board into pieces that are 4/5 foot long. How many pieces of length 4/5 foot can the carpenter cut from the board? What length of the original board will be left after the carpenter has cut all the pieces that are 4/5 foot long?

Answer 1

Ok so take 6 divided by 4/5 or 6 x 5/4 = 7.5 but you don't want .5 of a board so you will have 7 boards and 0.4 feet of board left over because half of 4/5 is 0.4

Answer 2

Number of pieces=7

Length of board remaining=
`(2)/(5)`

Explanation:

We are given that a carpenter has board of length=6 foot

Length of each piece of board=
`(4)/(5)` foot

We have to find the number pieces of given length of piece can be made from given board.

In order to find the number of pieces we will divide the total length of board by the length of each piece.

Therefore, number of pieces =
`(6)/((4)/(5))`

Number of pieces=
`7(1)/(2)`

Length of each piece =
`(4)/(5)`

Therefore, number of pieces=7

Length used in 7 pieces =
`7*(4)/(5)=(28)/(5)`

Length of board remaining=
`6-(28)/(5)=(2)/(5)`