Susan intends to cut a piece of ribbon 16 1/2 yards long into several pieces, each 1/4 yard long. How many pieces can she cut? 16 pieces 32 pieces 66 pieces 80 pieces

QUESTION POSTED AT 18/01/2020 - 07:29 AM

Answered by admin AT 18/01/2020 - 07:29 AM

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.

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