51/2 times 1 1/6 multiply write answer in simplest form

Let's first put everything into fraction form:

Using 2 as the least common denominator, 5 1/2 = 10/2 + 1/2 = 11/2
Using 6 as the least common denominator, 1 1/6 = 6/6 + 1/6 = 7/6

Now let's multiply those two:

11/2 x 7/6 = 77/12

Let's keep it going by getting some whole numbers out of that fraction:

12 goes into 77 six times. 12 x 6 = 72 so let's subtract:

77/12 - 72/12 = 6 5/12

Now, you asked for the simplest form, that would be 77/12
But if a mixed-form fraction works for your answer, 6 5/12 is also acceptable.