Respuesta :
The piece Zoe cut off would be 1 and 5/12 ft long.
5 and 1/4 - 3 and 5/6
The least common denominator is 24.
5 and 6/24 - 3 and 20/24
5 and 6/24 becomes 4 and 30/24
4 and 30/24 - 3 and 20/24 = 1 and 10/24
1 and 10/24 can be simplified to 1 and 5/12.
5 and 1/4 - 3 and 5/6
The least common denominator is 24.
5 and 6/24 - 3 and 20/24
5 and 6/24 becomes 4 and 30/24
4 and 30/24 - 3 and 20/24 = 1 and 10/24
1 and 10/24 can be simplified to 1 and 5/12.
Answer:
length of piece cut off from the board was [tex]1\frac{5}{12}[/tex] feet.
Step-by-step explanation:
Board with Zoe has the length = [tex]5\frac{1}{4}[/tex] feet
≈ [tex]\frac{21}{4}[/tex] feet
Now she cut off a piece of length then the length of the board = [tex]3\frac{5}{6}[/tex] feet
≈ [tex]\frac{23}{6}[/tex] feet
Length of the piece of piece she cut off = [tex]\frac{21}{4}-\frac{23}{6}[/tex]
= [tex]\frac{63-46}{12}[/tex]
= [tex]\frac{17}{12}[/tex]
= [tex]1\frac{5}{12}[/tex] feet
Therefore, length of piece cut off from the board was [tex]1\frac{5}{12}[/tex] feet.