Final answer:
To convert 6 2/3 to a decimal, add the whole number to the fraction and divide. The decimal representation is 2.66666667. The fraction representation is 8/3.
Step-by-step explanation:
To convert the mixed number 6 2/3 to a decimal, you can add the whole number part (6) to the fraction part (2/3). When you add 6 and 2/3, it becomes 8/3.
Now, divide 8 by 3 to get the decimal representation: 8 ÷ 3 = 2.66666667 (rounded to 8 decimal places).
For the fraction representation, you already have it as 8/3. This is an improper fraction, which means the numerator (8) is greater than the denominator (3).
You can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 1. So the simplified fraction is 8/3.