Answer:
[tex]\frac{22}{3}[/tex] pieces she can cut from the wood.
Step-by-step explanation:
Given : Kiersten has [tex]5\frac{1}{2}[/tex] feet of wood. She is creating a sculpture and needs to divide the wood into [tex]\frac{3}{4}[/tex] foot pieces.
To find : How many pieces can she cut from the wood?
Solution :
Kiersten has [tex]5\frac{1}{2}=\frac{11}{2}[/tex] feet of wood.
She is creating a sculpture and needs to divide the wood into [tex]\frac{3}{4}[/tex] foot pieces.
i.e. Divide [tex]\frac{11}{2}[/tex] by [tex]\frac{3}{4}[/tex] for number of pieces,
[tex]\frac{11}{2}\div \frac{3}{4}=\frac{\frac{11}{2}}{\frac{3}{4}}[/tex]
[tex]\frac{11}{2}\div \frac{3}{4}=\frac{11\times 4}{2\times 3}[/tex]
[tex]\frac{11}{2}\div \frac{3}{4}=\frac{22}{3}[/tex]
Therefore, [tex]\frac{22}{3}[/tex] pieces she can cut from the wood.