Question

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

Answer 1

16 1/2=16.5

1/4=.25

165÷25=66


66

Answer 2

66 pieces.

Explanation:

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

`16(1)/(2) = (16*2+1)/(2) = (32+1)/(2) =(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= ((33)/(2))/((1)/(4)) = (33*4)/(2*1) = (132)/(2) = 66.`

Then, she can cut 66 pieces.