Question

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

a. 0.067 b. 0.068 c. 0.677 d. 0.678

Answer 1

b. 0.068

Explanation:

We have been given a percent value
`6(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(7)/(9)\%=(6\cdot 9+7)/(9)\%=(54+7)/(9)\%=(61)/(9)\%`

Since we know that to convert a percent to decimal we divide the number by 100.

`\text{Decimal equivalent to 6}(7)/(9)\%=(61)/((9)/(100))`

`\text{Decimal equivalent to 6}(7)/(9)\%=(61*1)/(9*100)`

`\text{Decimal equivalent to 6}(7)/(9)\%=(61)/(900)`

`\text{Decimal equivalent to 6}(7)/(9)\%=0.0677777777`

Upon rounding our answer to nearest thousandth we will get,

`\text{Decimal equivalent to 6}(7)/(9)\%=0.068`

Therefore, the decimal equivalent to
`6(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(7)/(9).`%

Percent means out of 100.

`6(7)/(9)=(61)/(9).`=6.77777.

6.777%= 6.777÷100

=0.068.(Rounded to nearest thousandths)

Option B is the right answer.