Compute 1 1/6 divided by 1/2convert answer into a mixed number in simplest form

Answer 1

To divide mixed numbers, we need to convert them into improper fractions and then proceed with the division.

The mixed number 1 1/6 can be converted into an improper fraction as follows:
1 1/6 = (6 * 1 + 1)/6 = 7/6

The fraction 1/2 remains unchanged.

Now, we can divide the two fractions:
(7/6) / (1/2) = (7/6) * (2/1)

Multiplying the numerators (7 * 2) and the denominators (6 * 1), we get:
14/6

Now, we simplify the fraction:
14/6 = 7/3

Finally, we can express the improper fraction 7/3 as a mixed number in simplest form:
7/3 = 2 1/3

So, 1 1/6 divided by 1/2 is equal to 2 1/3.