Express the fraction 2/3 as a decimal number.

Introduction / Context:
This problem focuses on converting the fraction 2/3 into its decimal representation. Mastering such conversions is important for questions on percentages, ratios and proportional reasoning.

Given Data / Assumptions:

• Fraction: 2/3.
• We must find its decimal form.
• Options are rounded decimals, so we must round correctly.

Concept / Approach:
To convert a fraction to a decimal, divide the numerator by the denominator: here 2 ÷ 3. Because 3 does not divide an exact power of 10, the result is a repeating decimal. We will then round to two decimal places since the options are given that way.

Step-by-Step Solution:

Verification / Alternative check:
We know that 1/3 = 0.3333... and that 2/3 = 2 * (1/3) = 0.6666.... This provides a quick mental check and again confirms that rounding to two decimal places gives 0.67.

Why Other Options Are Wrong:
0.47 is too small and does not relate to thirds. 6.77 is a number greater than 6, while 2/3 is less than 1, so it is impossible. 0.07 is far smaller than the true value. Only 0.67 is a reasonable approximation of 0.6666...

Common Pitfalls:
Learners sometimes mistakenly round 0.6666... to 0.66, but the third decimal digit is 6, so the second decimal place should be rounded up to 7. Another confusion arises when people misplace the decimal point and think 2/3 is 2.3 or 0.23. Always remember 2/3 is less than 1 but greater than 0.5.

Final Answer:
The decimal form of 2/3, rounded to two decimal places, is 0.67.