2 students had a contest to see who could run the farthest in 3 minutes. Felipe ran 2/3 mile. Emanuel ran 3/4 mile. Which is one way to correctly compare these fractions?

A.8/12<9/12
B.6/9>6/8
C.15/20<10/15
D.3/4=2/3
A?

Right.

To compare fractions, it is important to have a common denominator. In this case, the fractions are 2/3 and 3/4.

To find a common denominator, we need to find the least common multiple (LCM) of the denominators, which are 3 and 4.

Multiples of 3: 3, 6, 9, 12, 15, 18, ...
Multiples of 4: 4, 8, 12, 16, 20, ...

From the lists above, the least common multiple (LCM) of 3 and 4 is 12.

Now, let's rewrite the fractions with a common denominator of 12:

For 2/3:
Since the original denominator is 3, we need to multiply both the numerator and denominator by 4 to get a denominator of 12.
2/3 * 4/4 = 8/12

For 3/4:
Since the original denominator is 4, we need to multiply both the numerator and denominator by 3 to get a denominator of 12.
3/4 * 3/3 = 9/12

Now we can see the fractions with a common denominator of 12: 8/12 and 9/12.

Looking at the answer choices:
A. 8/12 < 9/12 - This is correct since 8/12 is less than 9/12.
B. 6/9 > 6/8 - This is not relevant to the given fractions.
C. 15/20 < 10/15 - This is not relevant to the given fractions.
D. 3/4 = 2/3 - This is not true since 3/4 is not equal to 2/3.

Therefore, the correct answer is A. 8/12 < 9/12.