Answer:
2/3 < 9/10; I used 3/4 as a benchmark.
Step-by-step explanation:
To compare the fractions, we will transform every fraction in a decimal.
So, for part A, we get that 2/3 and 1/2 are equivalent to:
2/3 = 0.666
1/2 = 0.5
Therefore, 2/3 > 1/2, so A is not a correct answer.
For part B:
1/2 = 0.5
3/5 = 0.6
Therefore, 1/2 < 3/5, so B is not a correct answer.
For part C:
2/3 = 0.666
9/10 = 10
We also have that 3/4 = 0.75
So, 2/3 is less than 3/4, and 3/4 is less than 9/10, therefore, 2/3 is less than 9/10.
Therefore, 2/3 < 9/10 and 3/4 is a benchmark. So, answer C is the correct answer.
For part D:
3/4 = 0.75
2/3 = 0.66
Therefore, 3/4 > 2/3, so D is not a correct answer.