Algebra Examples

$\frac{6 | 4 + (- 10) |}{2 \cdot 3^{2}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Remove parentheses.

$\frac{6 | 4 - 10 |}{2 \cdot 3^{2}}$

Step 1.2

Cancel the common factor of $6$ and $2$ .

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Step 1.2.1

Factor $2$ out of $6 | 4 - 10 |$ .

$\frac{2 (3 | 4 - 10 |)}{2 \cdot 3^{2}}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $2 \cdot 3^{2}$ .

$\frac{2 (3 | 4 - 10 |)}{2 (3^{2})}$

Step 1.2.2.2

Cancel the common factor.

$\frac{2 (3 | 4 - 10 |)}{2 \cdot 3^{2}}$

Step 1.2.2.3

Rewrite the expression.

$\frac{3 | 4 - 10 |}{3^{2}}$

Step 1.3

Cancel the common factor of $3$ and $3^{2}$ .

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Step 1.3.1

Factor $3$ out of $3 | 4 - 10 |$ .

$\frac{3 (| 4 - 10 |)}{3^{2}}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $3$ out of $3^{2}$ .

$\frac{3 (| 4 - 10 |)}{3 \cdot 3}$

Step 1.3.2.2

Cancel the common factor.

$\frac{3 | 4 - 10 |}{3 \cdot 3}$

Step 1.3.2.3

Rewrite the expression.

$\frac{| 4 - 10 |}{3}$

Step 2

Simplify the numerator.

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Step 2.1

Subtract $10$ from $4$ .

$\frac{| - 6 |}{3}$

Step 2.2

The absolute value is the distance between a number and zero. The distance between $- 6$ and $0$ is $6$ .

$\frac{6}{3}$

Step 3

Divide $6$ by $3$ .

$2$