Answer: 8/9 (or 0.888..) is the larger number.
Step-by-step explanation
Use a calculator, or long division, to find these decimal values:
- 7/8 = 0.875 (exact)
- 8/9 = 0.889 (approximate)
In the decimal expansion of 8/9, the 8's go on forever. But we have to round at some point. I chose to round to 3 decimal digits because 0.875 is to 3 decimal digits.
We see that 0.889 is larger, which must mean 8/9 is larger.