2/3 (-6 + 4)

To solve this expression, start by simplifying the parenthesis:

-6 + 4 = -2

Next, multiply the simplified expression by 2/3:

2/3 * -2 = -4/3

So, 2/3 (-6 + 4) simplifies to -4/3.

To solve this expression step-by-step, follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Step 1: Simplify the expression within the parentheses.
-6 + 4 = -2

Step 2: Multiply the simplified expression by 2/3.
(2/3) * (-2)

To multiply fractions, multiply the numerators together to get a new numerator, and multiply the denominators together to get a new denominator.
(2 * -2) / (3 * 1)
-4 / 3

So, 2/3 (-6 + 4) simplifies to -4/3.

To solve the expression 2/3(-6 + 4), we can follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication & Division from left to right, and Addition & Subtraction from left to right).

1. Inside the parentheses, there is -6 + 4.
Evaluating this expression, we get -2.

2. Now let's substitute the value of -2 back into the expression: 2/3 * -2.
According to PEMDAS, we perform multiplication first before division.

3. Multiply 2/3 by -2:
(2/3) * (-2) = -4/3

Therefore, the value of the expression 2/3(-6 + 4) is -4/3.