Algebra Examples

$\frac{| 7 + 5 | + 4 | - 2 |}{| 4 - 2 |}$

Step 1

Simplify the numerator.

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Step 1.1

Add $7$ and $5$ .

$\frac{| 12 | + 4 | - 2 |}{| 4 - 2 |}$

Step 1.2

The absolute value is the distance between a number and zero. The distance between $0$ and $12$ is $12$ .

$\frac{12 + 4 | - 2 |}{| 4 - 2 |}$

Step 1.3

The absolute value is the distance between a number and zero. The distance between $- 2$ and $0$ is $2$ .

$\frac{12 + 4 \cdot 2}{| 4 - 2 |}$

Step 1.4

Multiply $4$ by $2$ .

$\frac{12 + 8}{| 4 - 2 |}$

Step 1.5

Add $12$ and $8$ .

$\frac{20}{| 4 - 2 |}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $2$ from $4$ .

$\frac{20}{| 2 |}$

Step 2.2

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$\frac{20}{2}$

Step 3

Divide $20$ by $2$ .

$10$