Rounded to the nearest thousandth, what is the decimal equivalent of 6 7/9%?
The question is asking us to find the decimal equivalent of \(6\frac{7}{9}.\)%
Percent means out of 100.
\(6\frac{7}{9}=\frac{61}{9}.\)=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 \(6\frac{7}{9}\%\) 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.
\(6\frac{7}{9}\%=\frac{6\cdot 9+7}{9}\%=\frac{54+7}{9}\%=\frac{61}{9}\%\)
Since we know that to convert a percent to decimal we divide the number by 100.
\(\text{Decimal equivalent to 6}\frac{7}{9}\%=\frac{61}{\frac{9}{100}}\)
\(\text{Decimal equivalent to 6}\frac{7}{9}\%=\frac{61*1}{9*100}\)
\(\text{Decimal equivalent to 6}\frac{7}{9}\%=\frac{61}{900}\)
\(\text{Decimal equivalent to 6}\frac{7}{9}\%=0.0677777777\)
Upon rounding our answer to nearest thousandth we will get,
\(\text{Decimal equivalent to 6}\frac{7}{9}\%=0.068\)
Therefore, the decimal equivalent to \(6\frac{7}{9}\%\) is 0.068 and option 'b' is the correct choice.