Final answer:
To divide -1 1/6 by 2 1/3, convert the mixed fractions to improper fractions. Use the reciprocal of the divisor fraction and multiply it with the dividend fraction. The result is -1/2.
Step-by-step explanation:
To divide -1 1/6 by 2 1/3, you can convert the mixed fractions to improper fractions. -1 1/6 is equivalent to -7/6 and 2 1/3 is equivalent to 7/3. When dividing fractions, you multiply the first fraction by the reciprocal of the second fraction.
-7/6 ÷ 7/3 = -7/6 * 3/7 = -21/42 = -1/2
To divide -1 1/6 by 2 1/3, convert the mixed fractions to improper fractions. Use the reciprocal of the divisor fraction and multiply it with the dividend fraction. The result is -1/2.
Therefore, -1 1/6 ÷ 2 1/3 is equal to -1/2.