In the expression "five over six minus three over four", the fractions 5/6 and 3/4 represent two separate quantities. To find the difference between these two quantities, we need to subtract one from the other. However, since the fractions have different denominators, we need to find a common denominator before we can subtract.
The least common denominator (LCD) of 6 and 4 is 12. So, we need to convert both fractions to have a denominator of 12 before we can subtract. We can do this by multiplying the numerator and denominator of each fraction by a number that will give us a denominator of 12.
For the fraction 5/6, we can multiply the numerator and denominator by 2 to get 10/12. This gives us a fraction that is equivalent to 5/6 but with a denominator of 12. We can do the same for the fraction 3/4 by multiplying the numerator and denominator by 3 to get 9/12.
Now that we have equivalent fractions with a common denominator, we can subtract the two fractions:
(10/12) - (9/12) = (10 - 9)/12 = 1/12
So the final answer is 17/24