Compute: 1 1/6 ÷1/2 . Convert the answer to a mixed number in simplest form.(1 point)

Question

Responses

Answer 1

To divide mixed numbers, we can convert them to improper fractions.

1 1/6 can be written as: (6*1 + 1)/6 = 7/6

1/2 as an improper fraction is: 2/1

Now we divide fractions by multiplying the first fraction by the reciprocal of the second fraction:

(7/6) / (2/1) = (7/6) * (1/2)

Next, we multiply the numerators together and the denominators together:

(7*1)/(6*2) = 7/12

To simplify this fraction, we can find a common factor to divide the numerator and the denominator by. In this case, 7 and 12 share a common factor of 1, so we cannot simplify it any further.

Therefore, the answer is 7/12.