-1/2+2=-2 1/2

-1/2 + 2 = 1 1/2

or,

-(1/2 + 2) = -2 1/2

To solve the equation -1/2 + 2 = -2 1/2, we need to simplify both sides of the equation.

On the left side of the equation, we have -1/2 + 2.

To add fractions, we need a common denominator. The common denominator of 2 and 1/2 is 2.

To convert -1/2 to have a denominator of 2, multiply both the numerator and denominator by 2. This gives us -2/4.

Now we can add the two fractions: -2/4 + 2.

To add these fractions, the denominators must be the same. In this case, they are already the same.

So, we can add the numerators: -2 + 2 = 0.

Therefore, the left side of the equation simplifies to 0.

On the right side of the equation, we have -2 1/2.

To convert the mixed number -2 1/2 to an improper fraction, we multiply the whole number (-2) by the denominator (2) and add the result to the numerator (1). This gives us -5/2.

Now, we have -5/2 on the right side of the equation.

Therefore, the equation becomes 0 = -5/2.

The equation is now simplified.

To verify that this is the correct solution, we can check if the equation holds true when we substitute the values.

On the left side, we have -1/2 + 2 = 1 1/2.

On the right side, we have -2 1/2, which is equivalent to -5/2.

Therefore, the equation is not correct. The correct equation should be 1 1/2 = -2 1/2.