Please help out with this math question?

Question

Please explain answer and explain this math question. Thanks in advance!

(2/3)+(5/6-1/2)^2

Answer 1

The expression is (2/3) + (5/6 - 1/2)^2.

Order of Operations:

To simplify the expression follow the order of operations: (PEMDAS)

1.      Evaluate the expressions inside the Parenthesis/Brackets (P).

2.      Evaluate Powers/Exponents (E).

3.      Multiply and/or Divide in order from left to right (MD).

4.      Add and/or Subtract in order from left to right (AS).

From PEMDAS rule,

The expression is (2/3) + (5/6 - 1/2)^2.

Evaluate the expression inside the Parenthesis

(2/3) + [ (5-3)/6 ]^2

(2/3) + (2/6)^2

2/3 + (1/3)^2

Evaluate Powers.

2/3 + 1/9

Next operation is addition.

(6 + 1)/9

7/9.

Therefore, (2/3) + (5/6 - 1/2)^2 = 7/9.