Find the decimal value of the fraction 16/3.

Introduction / Context:
This question examines your ability to divide an improper fraction and express the result as a decimal. Such conversions appear frequently in word problems, average calculations and financial computations.

Given Data / Assumptions:

• Fraction: 16/3.
• We must express 16/3 as a decimal.
• The options provide decimal approximations rounded to two decimal places.

Concept / Approach:
An improper fraction has a numerator larger than its denominator. To convert it to a decimal, we perform long division of the numerator by the denominator. Since 3 is not a factor of a power of 10, the decimal will be repeating. We only need a correct approximation up to two decimal places.

Step-by-Step Solution:

Verification / Alternative check:
We can write 16/3 = 15/3 + 1/3 = 5 + 1/3. Since 1/3 is 0.3333..., adding it to 5 gives 5.3333..., which agrees with the division approach and again rounds to 5.33.

Why Other Options Are Wrong:
6 is too large because 18/3 = 6, and 16/3 is less than that. Values 5.74 and 5.68 do not correspond to simple thirds and are far from the true repeating decimal 5.3333..., so they are approximations with no basis in the actual division.

Common Pitfalls:
Some test takers mistakenly round 5.3333... to 5.3 or 5.4. When rounding to two decimal places, always look at the third decimal digit to decide whether to round up or not. Here the third digit is 3, so 5.33 remains unchanged.

Final Answer:
The decimal equivalent of 16/3, correct to two decimal places, is 5.33.