Final answer:
The ordered pair {-2 1/4, 2/3} is represented as (-2.25, 0.6667) in decimals, and this corresponds to Option D of the given choices.
Step-by-step explanation:
The ordered pair {-2 1/4, 2/3} can be represented with decimal equivalents for both the x and y coordinates. To convert -2 1/4 to a decimal, we convert the fraction 1/4 to 0.25 and since it is negative, the equivalent decimal would be -2.25.
To convert the fraction 2/3 to a decimal, we divide 2 by 3 which gives us a repeating decimal that can be rounded to 0.67 or represented exactly as 0.6667.
By comparing the actual values with the options given:
- Option A (-2 1/4, 2/3) is just the fraction version of our ordered pair.
- Option B (-2.25, 0.67) matches the decimal equivalent closely but rounded up.
- Option C (-2.25, 2/3) has the correct x value but the y-value is still a fraction.
- Option D (-2.25, 0.6667) is the decimal equivalent with the y-value represented accurately.
Therefore, the correct answer is Option D (-2.25, 0.6667), which represents the ordered pair {-2 1/4, 2/3} with adequate precision for most practical purposes.