To find the division of fractions, we need to multiply the first fraction by the reciprocal or inverse of the second fraction.
To calculate 5/6 ÷ 1/3, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/3 is 3/1 or simply 3. So, we have:
5/6 ÷ 1/3 = 5/6 × 3/1 = (5 × 3) / (6 × 1) = 15/6
Now, we simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3 in this case.
15/6 ÷ 3/3 = (15 ÷ 3) / (6 ÷ 3) = 5/2
Therefore, the equivalent fraction of 5/6 ÷ 1/3 is 5/2 or 2 and 1/2.
So, the correct answer is 2 and 1/2.