Question

What is the fraction and the percent of the shaded part in each square?

Answer 1

Answer:

Part a) The fraction is $\frac{5}{9}$

Part b) The percent is $55\frac{5}{9}\%$

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

$f=\frac{x}{y}$

In this problem we have

$x=20\ shaded\ squares$

$y=36\ total\ squares$

substitutes

$f=\frac{20}{36}$

Simplify

$\frac{20}{36}=\frac{5}{9}$

Part b) Find the percent

To find the percent multiply the fraction by 100

so

$\frac{5}{9}*100=\frac{500}{9}\%$

convert to mixed number

$\frac{500}{9}=\frac{495}{9}+\frac{5}{9}=55\frac{5}{9}\%$

Answer 2

Answer:

The fraction is 3/4

and the percent is

75%