Question

How many 8 1/4 inch pieces of yarn can be cut from a roll that has 96 inches of yarn

Answer 1

Approximately 12 pieces of yarn can be cut from the 96 inches roll of yarn

Explanation:

Total length of the yarn = 96 inches

Length of each piece = 8 1/4 inches

Now, solving the mixed fraction
`8(1)/(4)` , we get

length of each piece =
`8(1)/(4)` =
`((8)(4) + 1)/(4)= (33)/(4)` inches

Now, the number of pieces =
`\frac{\textrm{Total length of the Yarn}}{\textrm{Length of ecah piece}}`

=
`(96)/((33)/(4) )  = 96 * (4)/(33)  = 11.63`

⇒ number of pieces = 11.63

Hence approximately 12 pieces of yarn can be cut from the 96 inches roll of yarn.