To subtract fractions, you need to find a common denominator.
The common denominator for 3 and 4 is 12.
Next, you need to convert both fractions so they have the same denominator.
So, for 2/3, you need to multiply the numerator and denominator by 4:
(2/3)*(4/4) = 8/12
For 6/4, you need to multiply the numerator and denominator by 3:
(6/4)*(3/3) = 18/12
Now that both fractions have the same denominator, you can subtract them:
8/12 - 18/12 = (8 - 18)/12 = -10/12
Therefore, 2/3 - 6/4 = -10/12, or simplified, -5/6.
