To compare the two ratios, we need to find a common denominator for the fractions.

For 7 1/3 : 1 5/6, the common denominator is 6.

Converting 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3

Converting 1 5/6 to an improper fraction:
1 5/6 = (6*1 + 5)/6 = 11/6

So, the ratio 7 1/3 : 1 5/6 can be written as 22/3 : 11/6

Now, we need to simplify the ratios:
22/3 = 44/6
11/6 = 11/6

Therefore, the simplified ratio is 44 : 11, which can also be written as 4 : 1.

So, 7 1/3 : 1 5/6 is equivalent to 4 : 1.