Respuesta :
The question is asking us to find the decimal equivalent of [tex]6\frac{7}{9}.[/tex]%
Percent means out of 100.
[tex]6\frac{7}{9}=\frac{61}{9}.[/tex]=6.77777.
6.777%= 6.777÷100
=0.068.(Rounded to nearest thousandths)
Option B is the right answer.
Answer:
b. 0.068
Step-by-step explanation:
We have been given a percent value [tex]6\frac{7}{9}\%[/tex] and we are asked to find the decimal equivalent to our given percentage.
First of all we will convert our given mixed fraction into improper fraction.
[tex]6\frac{7}{9}\%=\frac{6\cdot 9+7}{9}\%=\frac{54+7}{9}\%=\frac{61}{9}\%[/tex]
Since we know that to convert a percent to decimal we divide the number by 100.
[tex]\text{Decimal equivalent to 6}\frac{7}{9}\%=\frac{61}{\frac{9}{100}}[/tex]
[tex]\text{Decimal equivalent to 6}\frac{7}{9}\%=\frac{61*1}{9*100}[/tex]
[tex]\text{Decimal equivalent to 6}\frac{7}{9}\%=\frac{61}{900}[/tex]
[tex]\text{Decimal equivalent to 6}\frac{7}{9}\%=0.0677777777[/tex]
Upon rounding our answer to nearest thousandth we will get,
[tex]\text{Decimal equivalent to 6}\frac{7}{9}\%=0.068[/tex]
Therefore, the decimal equivalent to [tex]6\frac{7}{9}\%[/tex] is 0.068 and option 'b' is the correct choice.
