Final answer:
To compare the fractions and find the larger number, we convert each fraction to a decimal and then compare the decimals. The larger number is found to be (0.888...) which corresponds to option 3).
Step-by-step explanation:
To compare the given fractions and find the larger number, we need to convert each fraction to a decimal. Let's convert each fraction:
- 1) 3/4 = 0.75
- 2) 5/6 = 0.833...
- 3) 8/9 = 0.888...
- 4) 5/6 = 0.833...
Comparing the decimals:
0.8 < 0.833... = 0.8333... = 0.83 < 0.888...
Therefore, the larger number is (0.888...) which corresponds to 3) in the given options.