What is 1 over six divided by 3 over 4?

To divide fractions, you invert the second fraction and multiply. So, 1/6 divided by 3/4 is the same as 1/6 multiplied by 4/3. Multiplying the numerators gives 4, and multiplying the denominators gives 18. Therefore, 1/6 divided by 3/4 equals 4/18, which simplifies to 2/9.