Algebra Examples

$\frac{1}{2} (7 - 3 (6 + 1))$

Step 1

Simplify each term.

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Step 1.1

Add $6$ and $1$ .

$\frac{1}{2} \cdot (7 - 3 \cdot 7)$

Step 1.2

Multiply $- 3$ by $7$ .

$\frac{1}{2} \cdot (7 - 21)$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Subtract $21$ from $7$ .

$\frac{1}{2} \cdot - 14$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $- 14$ .

$\frac{1}{2} \cdot (2 (- 7))$

Step 2.2.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot - 7)$

Step 2.2.3

Rewrite the expression.

$- 7$