Respuesta :

Ben

[tex]\huge\boxed{66.\overline{6}\%}[/tex]

First, simplify the fraction by dividing the numerator and denominator each by [tex]3[/tex]. [tex]\frac{6}{9} \div \frac{3}{3} = \frac{2}{3}[/tex]

[tex]\frac{2}{3}[/tex] is a common fraction with an equivalent percentage of [tex]\boxed{66.\overline{6}\%}[/tex].

The [tex].\overline{6}[/tex] represents an infinitely repeating [tex]6[/tex], as in [tex].6666666666...[/tex]

Answer: 66.67

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 6/9 as a percent, we need to find a fraction equivalent to 6/9 that has a 100 in the denominator. We can do this by setting up a proportion.

[tex]\frac{6}{9}[/tex] = [tex]\frac{n}{100}[/tex]

Now, we can use cross products to find the missing value.

9n = 600

÷9     ÷9

n = 66.67

Therefore, 6/9 can be written as 66.67%.