Final answer:
7 1/3 is greater than 6 2/3 because the whole number part of 7 1/3 is larger than that of 6 2/3.
Step-by-step explanation:
The question asks us to compare two mixed numbers: 7 1/3 and 6 2/3.
To do this, we need to look at the whole numbers and the fractions independently.
Since both numbers have 2/3 as their fractional part, we only need to compare the whole numbers, which are 7 and 6.
Because 7 is greater than 6, 7 1/3 is greater than 6 2/3.
Therefore, the correct symbol to use to compare the two numbers is '>'.
So, we write: 7 1/3 > 6 2/3.