The question in the image asks which fraction can be expressed as a repeating decimal. Here are the options:

A) 1/10
B) 1/4
C) 3/15
D) 7/9

Let's analyze these fractions:

1. 1/10 = 0.1 (This is a terminating decimal, not repeating).
2. 1/4 = 0.25 (This is a terminating decimal, not repeating).
3. 3/15 = 0.2 (This is a terminating decimal, not repeating).
4. 7/9 = 0.777... (This is a repeating decimal, as the digit 7 repeats).

The correct answer is D) 7/9, which can be expressed as a repeating decimal (0.777...).

Do you need further explanation on how repeating decimals work? Let me know if you'd like additional details or clarifications!

Here are five related questions you may find useful:

1. What is the difference between terminating and repeating decimals?
2. How can you identify if a fraction has a repeating decimal?
3. How do you convert a repeating decimal to a fraction?
4. Why does 1/9 repeat as 0.111...?
5. How can you calculate a repeating decimal to a fraction algebraically?

Tip: To recognize a repeating decimal, try dividing the numerator by the denominator. If the remainder starts repeating, the decimal will repeat too!