Final answer:
Dan's basketball game score of 5/6 converts to 10/12, while Mick's score of 3/4 converts to 9/12. Comparing these, 10/12 is larger, indicating that Dan was more accurate.
Step-by-step explanation:
The question requires us to convert two fractions, 5/6 and 3/4, to twelfths in order to compare which is larger. To do this, we find a common denominator, which is 12 in this case, and then convert each fraction accordingly.
To convert 5/6 to twelfths, we multiply both the numerator (5) and the denominator (6) by 2, since 6 times 2 equals 12. This gives us 10/12. Similarly, to convert 3/4 to twelfths, we multiply both the numerator (3) and the denominator (4) by 3, since 4 times 3 equals 12. This gives us 9/12.
Now that both fractions are in twelfths, we can easily compare them: 10/12 is larger than 9/12. Therefore, Dan was more accurate in his basketball game than Mick.