Final answer:
The value of 2/3 rounded to the nearest cent is approximately 0.67 dollars. We obtain this by converting 2/3 to a decimal and rounding to the hundredth place, using the standard rounding rules.
Step-by-step explanation:
The value of 2/3 rounded to the nearest cent is calculated by expressing 2/3 as a decimal and then rounding to two decimal places, since cents are hundredths of a dollar. First, divide 2 by 3 to get the decimal form, which gives us approximately 0.6667. When rounding to the nearest cent (two decimal places), we look at the third decimal place which is 6. Since 6 is greater than 5, we round the second decimal place up, resulting in a rounded value of 0.67.
Therefore, the correct answer is a. 1.67 when we adjust the value to express it in terms of dollars.