Compute: 1 1/6 ÷1/2 . Convert the answer to a mixed number in simplest form.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/2 is 2/1.
Therefore, 1 1/6 ÷ 1/2 can be expressed as (7/6) * (2/1).
Multiplying the fractions, we get: (7/6) * (2/1) = 14/6.
To convert 14/6 to a mixed number, we divide the numerator (14) by the denominator (6).
Dividing 14 by 6, we get a quotient of 2 and a remainder of 2.
Thus, 14/6 can be expressed as the mixed number 2 2/6.
Simplifying the fraction, we can divide the numerator (2) and the denominator (6) by their greatest common divisor, which is 2.
Dividing 2 by 2, we get 1. Dividing 6 by 2, we get 3.
So, the simplest form of 2 2/6 is 1 1/3.