Question

Marcie brought a 50 foot roll of packing tape.She used two 71/8 foot lengths.How much tape is left on the roll

Answer 1

`32(1)/(4)\ ft` of tape is left on the roll.

Explanation:

Given:

Total length of packing tape roll bough = 50 feet

She used two lengths of
`(71)/(8)` feet .

To find the length of tape left on the roll.

Solution:

Total length of tape used by Marcie =
`2* (71)/(8)\ ft=(71)/(4)\ ft`

Length of tape that is left can be given as:

⇒
`\textrm{Total length of the roll - Length of the roll used}`

⇒
`50\ ft-(71)/(4)\ ft`

In order to subtract fraction from a whole number, we will write whole number in fraction form with denominator 1.

⇒
`(50)/(1)\ ft-(71)/(4)\ ft`

Taking LCD =4 and multiplying the numerator and denominator of first fraction with 4

⇒
`(50* 4)/(1* 4)\ ft-(71)/(4)\ ft`

⇒
`(200)/(4)\ ft-(71)/(4)\ ft`

⇒
`(200-71)/(4)\ ft`

⇒
`(129)/(4)\ ft`

Converting the fraction to mixed number by writing the quotient as whole number, the remainder as numerator and divisor as denominator.

⇒
`32(1)/(4)\ ft`

Thus,
`32(1)/(4)\ ft` of tape is left on the roll.