Final answer:
Upon comparing the fractions 2/3, 4/8, and 9/10 by converting them to decimal form or a common denominator, it is clear that 9/10 is the largest, followed by 2/3, with 4/8 being the smallest.
Step-by-step explanation:
To compare the fractions 2/3, 4/8, and 9/10, we can convert each fraction into decimal form or find a common denominator. Firstly, 2/3 is approximately 0.6667, 4/8 simplifies to 1/2 which is 0.5, and 9/10 is 0.9. Comparing these decimals, we can see that 9/10 is the largest because 0.9 is greater than both 0.6667 and 0.5. The next largest is 2/3 because 0.6667 is greater than 0.5, and finally, the smallest is 4/8 or 1/2, which is 0.5.
If we were to find a common denominator, it would be 30. Converting each fraction, we get 20/30 for 2/3, 15/30 for 4/8, and 27/30 for 9/10. Again, it is clear from the numerators that 9/10 is the largest, followed by 2/3, and 4/8 is the smallest.