Answer:
3 pieces
Step-by-step explanation:
Key skills needed: Division
1) Rudolph has a [tex]9\frac{1}{2}[/tex] ft. long piece of wood.
2)He want to divide it into [tex]2\frac{3}{4}[/tex] ft. pieces.
3) To find out the maximum number of piece he can make you have to do:
[tex]9\frac{1}{2}[/tex] ÷ [tex]2\frac{3}{4}[/tex] --> Convert both to improper form --> ( 9 1/2 is 9x 2 + 1 = 19/2) & (2 3/4 is 2 x 4 + 3 = 11/4) This means it would be: [tex]\frac{19}{2}[/tex] ÷ [tex]\frac{11}{4}[/tex].
Dividing by a fraction is the same multiplying by it's reciprocal (The reciprocal of 11/4 is 4/11) so it would be [tex]\frac{19}{2}[/tex] x [tex]\frac{4}{11}[/tex] = [tex]\frac{76}{22}[/tex] ---> [tex]3\frac{10}{22}[/tex]
The answer above means Rudolph can cut only 3 pieces, and then he will be left with a little chunk of wood, but that is not big enough to be counted as a whole piece.
Therefore, the answer is 3 pieces
Hope you understood and have a nice day!! :D
