She planted [tex]\frac{3}{4}[/tex] arcs of each type
Step-by-step explanation:
The given is:
- A farmer planted [tex]4\frac{1}{2}[/tex] acres of land with 6 types of wheat
- She planted an equal amount of each type of wheat
We need to find how many acres of each type she planted
∵ The farmer planted [tex]4\frac{1}{2}[/tex] arcs of land
∵ She planted 6 types of wheat
∵ She planted an equal amount of each type of wheat
- Divide the total number of arcs by 6 to find the number of arcs
 for each type
To divide the total number of arcs change it from the mixed number
[tex]4\frac{1}{2}[/tex] to improper fraction
∵ [tex]4\frac{1}{2}=\frac{(4*2)+1}{2}=\frac{9}{2}[/tex]
∴ The total number of arcs = [tex]\frac{9}{2}[/tex]
∴ The number of arcs of each type = [tex]\frac{9}{2}[/tex] ÷ 6
- Change the division sign to multiplication sign and reciprocal
  the number after the division sign
∴ The number of arcs of each type = [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{6}[/tex]
∴ The number of arcs of each type = [tex]\frac{9*1}{2*6}[/tex]
∴ The number of arcs of each type = [tex]\frac{9}{12}[/tex]
- Reduce the fraction by dividing up and down by 3
∴ The number of arcs of each type = [tex]\frac{3}{4}[/tex]
She planted [tex]\frac{3}{4}[/tex] arcs of each type
Learn more:
You can learn more about fraction in brainly.com/question/1757979
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