2/3-6/4

To subtract fractions, you need to have a common denominator.

The least common multiple (LCM) of 3 and 4 is 12. So, we need to rewrite the fractions with a denominator of 12.

To convert 2/3 into a fraction with a denominator of 12, we multiply both the numerator and denominator by 4: (2/3) * (4/4) = 8/12.

To convert 6/4 into a fraction with a denominator of 12, we multiply both the numerator and denominator by 3: (6/4) * (3/3) = 18/12.

Now, we can subtract the fractions: 8/12 - 18/12 = (8 - 18)/12 = (-10/12).

However, we can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 2: (-10/12) * (1/2) = -10/24.

So, the simplified answer is -10/24.