## Simplifying (6/5 - 3/4) * 2/3

This expression involves several operations, so we need to follow the order of operations (PEMDAS/BODMAS) to simplify it correctly:

**1. Parentheses/Brackets:**

- First, we need to calculate the expression inside the parentheses: (6/5 - 3/4).
- To subtract fractions, they need to have the same denominator. The least common multiple of 5 and 4 is 20.
- (6/5 - 3/4) = (6
*4/5*4 - 3*5/4*5) = (24/20 - 15/20) = 9/20.

**2. Multiplication:**

- Now we have 9/20 * 2/3.
- To multiply fractions, we multiply the numerators and the denominators: (9 * 2) / (20 * 3) = 18/60.

**3. Simplifying:**

- Finally, we can simplify the fraction 18/60 by dividing both the numerator and denominator by their greatest common factor, which is 6: 18/60 = 3/10.

**Therefore, (6/5 - 3/4) * 2/3 simplifies to 3/10.**