Simplify the following expression: 3 (1/6) - 1 (5/6).

To simplify the expression 3 (1/6) - 1 (5/6), start by converting the mixed numbers to improper fractions. The mixed number 3 (1/6) can be converted as follows:

3 (1/6) = 3 + 1/6 = 18/6 + 1/6 = 19/6.

Next, convert 1 (5/6):

1 (5/6) = 1 + 5/6 = 6/6 + 5/6 = 11/6.

Now the expression becomes:

19/6 - 11/6.

Because both fractions have the same denominator, you can subtract the numerators directly:

19 - 11 = 8.

This gives you:

8/6.

Now, simplify 8/6 by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

8 ÷ 2 = 4 and 6 ÷ 2 = 3.

So, 8/6 simplifies to 4/3, which can be expressed as the mixed number 1 (1/3). Therefore, the correct simplification of the original expression is indeed 1 (1