Compute: 1 1/6 ➗1/2. Convert the answer to a mixed number in the simplest form.
To divide fractions, we multiply the reciprocals. The reciprocal of 1/2 is 2/1.
So, 1 1/6 ÷ 1/2 can be written as (7/6) * (2/1).
Multiplying the numerators and denominators, we get (7*2)/(6*1) = 14/6.
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and denominator, which is 2. We divide both the numerator and denominator by 2.
14 ÷ 2 / 6 ÷ 2 = 7/3.
Thus, the result is 7/3, which can be written as the mixed number 2 1/3 in the simplest form.