Question

Rounded to the nearest thousandth, what is the decimal equivalent of 6 7/9%?

Answer 1

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.

Answer 2

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.