Final answer:
The fraction 5/8 (option C) is the only fraction that falls between 7/9 and 8/11 when converted to decimal form, with 5/8 being approximately 0.625.
Step-by-step explanation:
The question is asking to find a fraction that lies between the values of 7/9 and 8/11. To determine which of the given options (A. 3/5, B. 4/7, C. 5/8, D. 6/10) fits the criteria, we need to compare these fractions.
First, let's convert 7/9 and 8/11 to decimal form to simplify the comparison:
- 7/9 = 0.777...
- 8/11 = 0.727...
Now we will convert the options to decimal form:
- 3/5 = 0.6
- 4/7 ≈ 0.571
- 5/8 = 0.625
- 6/10 = 0.6
Comparing these values, we can see that 5/8 is the only fraction greater than 0.727 (8/11) and less than 0.777 (7/9). Therefore, option C, 5/8, is the correct answer.