compute: 1 1/6 % 1/2. Convert the answer to a mixed number in simplest form.

Answer 1

To compute 1 1/6 % 1/2:

First, we need to convert the numbers to a common denominator. The LCM of 6 and 2 is 6, so we rewrite the numbers as follows:

1 1/6 = 7/6
1/2 = 3/6

Now we can find the remainder of the division. We divide 7/6 by 3/6:

7/6 ÷ 3/6 = (7/6) * (6/3) = 42/18 = 2 6/18

To simplify the fraction 6/18, we find the greatest common divisor of 6 and 18, which is 6. We divide both the numerator and denominator by 6:

2 6/18 = 2 (6/6)/(18/6) = 2 (1/3)

Therefore, 1 1/6 % 1/2 = 2 1/3.