Question

Seven students cut 5 3/4 inches of thread from a spool for a school project. what number represents the change in the amount of the thread on the spool?

a.) -40 1/4b.) -35 3/4c.) -29 3/4d.) -26 1/4

Answer 1

A. -40 1/4
Turn 5 3/4 to a decimal, which is 5.25.
5.25 x 7 = 40.25
Turn the answer back into a fraction.
40 1/4

Answer 2

The Option A is correct.i.e.,
`-40(1)/(4)`

Explanation:

Given: Length of thread a student cuts =
`5(3)/(4)` inches

total no. of student that cut thread = 7

To find: Number which represent change in amount of thread on spool.

Length of thread a student cuts =
`5(3)/(4)`

=
`(4*5+3)/(4)`

=
`(23)/(4)` inches

Length of thread 7 student cuts =
`(23)/(4)*7`

=
`(161)/(4)`

=
`40(1)/(4)` inches (Coverting into mixed fraction)

So, negative of length that 7 student cut from spool is the number represent change in amount of thread.

Therefore, The Option A is correct.i.e.,
`-40(1)/(4)`