Answer:
6 pieces
Explanation:
Given a string that is 33 inches in length.
She wants to cut the string into pieces that are 5½ inches in length each.
To determine the number of possible pieces, divide 33 by 5½.
[tex]\begin{gathered} 33\div5\frac{1}{2} \\ \text{ Change the mixed fraction to an improper fraction.} \\ =33\div\frac{11}{2} \\ \text{ Multiply each of the numbers by }\frac{2}{11} \\ =(33\times\frac{2}{11})\div(\frac{11}{2}\times\frac{2}{11}) \\ =\frac{66}{11}\div1 \\ =6 \end{gathered}[/tex]The number of pieces she can cut is 6.