Verified Answer :

16 1/2=16.5

1/4=.25

165÷25=66


66


Answer:

66 pieces.

Step-by-step explanation:

first I'm going to convert the mixed number in a rational number.

\(16\frac{1}{2} = \frac{16*2+1}{2} = \frac{32+1}{2} =\frac{33}{2}.\)

Susan wants to cut the pieces of 1/4 yard long. We have the following formula

long of each piece = total long ÷ number of pieces

number of pieces = total long ÷ long of each piece.

Then, we replace the data in the second formula

\(x= \frac{\frac{33}{2}}{\frac{1}{4}} = \frac{33*4}{2*1} = \frac{132}{2} = 66.\)

Then, she can cut 66 pieces.