Answer:
Part a) The fraction is [tex]\frac{5}{9}[/tex]
Part b) The percent is [tex]55\frac{5}{9}\%[/tex]
Step-by-step explanation:
Part a)
Find the fraction
we know that
To find the fraction of the shaded part in the square divide the number of shaded squares by the total number of squares
so
Let
x-------> the number of shaded squares
y-------> the total number of squares
f-------> the fraction of the shaded part
so
[tex]f=\frac{x}{y}[/tex]
In this problem we have
[tex]x=20\ shaded\ squares[/tex]
[tex]y=36\ total\ squares[/tex]
substitutes
[tex]f=\frac{20}{36}[/tex]
Simplify
[tex]\frac{20}{36}=\frac{5}{9}[/tex]
Part b) Find the percent
To find the percent multiply the fraction by 100
so
[tex]\frac{5}{9}*100=\frac{500}{9}\%[/tex]
convert to mixed number
[tex]\frac{500}{9}=\frac{495}{9}+\frac{5}{9}=55\frac{5}{9}\%[/tex]
