Final answer:
To divide 1 2/3 by -7/12, convert the mixed number to an improper fraction (5/3) and multiply by the reciprocal of -7/12. Simplify the result to get -2 6/7.
Step-by-step explanation:
To find the result of 1 2/3 divided by -7/12, first, convert the mixed number to an improper fraction. 1 2/3 is the same as 5/3. Then, divide the fractions by flipping the second fraction and multiplying. The calculation will be (5/3) × (-12/7).
Now perform the multiplication:
(5/3) × (-12/7) = (5 × -12) / (3 × 7) = -60 / 21.
Since both the numerator and denominator are divisible by 3, simplify to get -20/7. To express as a mixed number, divide 20 by 7 to get 2 with a remainder of 6. Thus, -20/7 as a mixed number is -2 6/7 in simplest form.