Question

Which fraction gives a decimal answer whose nonzero digits repeat infinitely many times?

Responses

6
4
6 fourths

8
9
8 ninths

9
8
9 eighths

7
8
7 eighths

Answer 1

To determine which fraction gives a decimal answer with nonzero digits that repeat infinitely, we need to analyze each of the fractions involved to see if their decimal representations are repeating.

### Analysis:

1. **6/4** (or 6 fourths):
- This simplifies to **3/2** which is **1.5**. The decimal does not repeat.

2. **8/9** (or 8 ninths):
- This gives **0.888...**, which is a repeating decimal (the "8" repeats).

3. **9/8** (or 9 eighths):
- This simplifies to **1.125**. The decimal does not repeat.

4. **7/8** (or 7 eighths):
- This gives **0.875**. The decimal does not repeat.

### Conclusion:
The fraction that gives a decimal answer with nonzero digits repeating infinitely is **8/9** (8 ninths).