Question

(1/2+2/3):5/6-12×(1/2-2/3)

Answer 1

7/6 * 6/5 - 12 * (-1/2) = 7/5 + 2 = (7+10)/5 = 17/5 = 3,4

Answer 2

1)1/2 +2/3 =3/6 +4/6 =7/6
2)7/6 :5/6 =7/6 *6/5 = 7/5
3)1/2 -2/3 =3/6 -4/6 = -1/6
4)12*(- 1/6)= -2
5)7/5 -(-2) =7/5 +2 = 7/5 +10/5 =17/5= 3 2/5

Answer 3

To solve this expression, we need to follow the order of operations (PEMDAS), which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Let's begin by simplifying the parentheses first:

1/2 - 2/3 = (3/6) - (4/6) = -1/6

So the expression becomes:

(1/2 + 2/3) ÷ (5/6) - 12 × (-1/6)

Next, we need to simplify the addition inside the first set of parentheses by finding a common denominator:

1/2 = 3/6

3/6 + 2/3 = (3/6) × (2/2) + (4/6) × (1/1) = 6/12 + 8/12 = 14/12

Now, let's simplify the division by multiplying the reciprocal of the second fraction:

(14/12) ÷ (5/6) = (14/12) × (6/5) = 7/5

Finally, let's simplify the multiplication:

12 × (-1/6) = -2

So the final answer is:

7/5 - 2 = -3/5