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3/4 can be represented as a sum using unit fractions in the form of 1/2 + 1/4.

One way to express 3/4 as a sum of unit fractions is by adding 1/2 and 1/4, which equals 3/4.

A) 1/8 + 1/8 + 1/8 + 1/4 + 1/4

This expression sums up to 1/8 + 1/8 + 1/8 = 3/8, and adding 1/4 (which is 2/8) and another 1/4 results in 3/8 + 2/8 + 2/8 = 7/8. Thus, it does not equal 3/4.

B) 2/8 + 1/4 + 4/16

In this case, 2/8 is equal to 1/4, so the expression simplifies to 1/4 + 1/4 + 1/4 = 3/4. However, since 4/16 also equals 1/4, it suggests a redundancy rather than a sum of distinct unit fractions, thus not fulfilling the requirement.

C) 5/8 + 2/16

Here, 2/16 simplifies to 1/8, so the expression becomes 5/8 + 1/8 = 6/8, which simplifies to 3/4. Although it does equal 3/4, it does not use only unit fractions in the distinct sense needed for the question.

D) 1/2 + 1/4

This expression clearly shows 1/2 (which is 2/4) plus 1/4, totaling 3/4. It correctly represents 3/4 using distinct unit fractions.

Conclusion

Option D is definitively correct as it accurately represents 3/4 by summing distinct unit fractions 1/2 and 1/4. Other options either do not sum to 3/4 or fail to comply with the requirement of using distinct unit fractions, making them incorrect representations.