6.6--Abe ran 3 ⅔ miles. Matt ran 4 ⅓ miles. Which of the following are true statements?
Abe ran less by ⅔ miles.
Matt ran more by 1 ⅓ miles.
Matt ran more by ⅔ miles
Abe ran less by 1 ⅓ miles.
None of these statements are true.
To compare the distances, we need to find a common denominator. The least common multiple of 2 and 3 is 6, so we can rewrite the distances as:
Abe ran 3 2/6 miles (or 3 1/3 miles)
Matt ran 4 4/6 miles (or 4 2/3 miles)
Comparing these, we can see that:
Abe ran less than Matt by 1/3 miles.
Matt ran more than Abe by 1/3 miles.
Therefore, the true statement is: Matt ran more than Abe by 1/3 miles.