Question

A carpenter wants to cut a board that is ft long into pieces that are ft long. The carpenter will use the expression shown to calculate the number of pieces that can be cut from the board. Which expression can also be used to calculate the number of pieces that can be cut from the board?

Answer 1

The expression can also be used to calculate the number of pieces that can be cut from the board is
`(5)/(6) \cdot (16)/(5)`

Explanation:

Length of cardboard =
`(5)/(6) feet`

Carpenter cuts board into pieces of equal length

Length of each piece =
`(5)/(16) feet`

We are supposed to find Which expression can also be used to calculate the number of pieces that can be cut from the board :

a)
`(5)/(6) \cdot (16)/(5)`

b)
`(5)/(6) \cdot (5)/(16)`

c)
`(6)/(5) / (5)/(16)`

d)c)
`(6)/(5) / (16)/(5)`

So, Number of pieces =
`(5)/(6) / (5)/(16)`

Number of pieces =
`(5)/(6) \cdot (16)/(5)`

So, Option A is true

Hence The expression can also be used to calculate the number of pieces that can be cut from the board is
`(5)/(6) \cdot (16)/(5)`