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

Answer:

The Option A is correct.i.e.,  $-40\frac{1}{4}$

Step-by-step explanation:

Given: Length of thread a student cuts = $5\frac{3}{4}$ 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 = $5\frac{3}{4}$

                                                     = $\frac{4\times5+3}{4}$

                                                     = $\frac{23}{4}$ inches

Length of thread 7 student cuts = $\frac{23}{4}\times7$

                                                     = $\frac{161}{4}$

                                                     = $40\frac{1}{4}$   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.,  $-40\frac{1}{4}$