Solve for a A=1/2(a+b)

$A = \frac{1}{2} (a + b)$

Step 1

Rewrite the equation as $\frac{1}{2} \cdot (a + b) = A$ .

$\frac{1}{2} \cdot (a + b) = A$

Step 2

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (a + b)) = 2 A$

Step 3

Simplify the left side.

Simplify $2 (\frac{1}{2} \cdot (a + b))$ .

Apply the distributive property.

$2 (\frac{1}{2} a + \frac{1}{2} b) = 2 A$

Combine $\frac{1}{2}$ and $a$ .

$2 (\frac{a}{2} + \frac{1}{2} b) = 2 A$

Combine $\frac{1}{2}$ and $b$ .

$2 (\frac{a}{2} + \frac{b}{2}) = 2 A$

Apply the distributive property.

$2 \frac{a}{2} + 2 \frac{b}{2} = 2 A$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{a}{2} + 2 \frac{b}{2} = 2 A$

Rewrite the expression.

$a + 2 \frac{b}{2} = 2 A$

$a + 2 \frac{b}{2} = 2 A$

Cancel the common factor of $2$ .

Cancel the common factor.

$a + 2 \frac{b}{2} = 2 A$

Rewrite the expression.

$a + b = 2 A$

$a + b = 2 A$

$a + b = 2 A$

$a + b = 2 A$

Step 4

Subtract $b$ from both sides of the equation.

$a = 2 A - b$

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