Basic Math Examples

$\frac{| - 2 |}{\frac{10}{- 5 \cdot - 2}}$

Step 1

Cancel the common factor of $10$ and $- 5$ .

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Step 1.1

Factor $5$ out of $10$ .

$\frac{| - 2 |}{\frac{5 (2)}{- 5 \cdot - 2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $- 5 \cdot - 2$ .

$\frac{| - 2 |}{\frac{5 (2)}{5 (- - 2)}}$

Step 1.2.2

Cancel the common factor.

$\frac{| - 2 |}{\frac{5 \cdot 2}{5 (- - 2)}}$

Step 1.2.3

Rewrite the expression.

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

Step 2

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

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Step 2.1

Factor $2$ out of $2$ .

$\frac{| - 2 |}{\frac{2 (1)}{- - 2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $- - 2$ .

$\frac{| - 2 |}{\frac{2 (1)}{2 (- - 1)}}$

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$\frac{| - 2 |}{\frac{1}{- - 1}}$

Step 3

Cancel the common factor of $1$ and $- 1$ .

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Step 3.1

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{| - 2 |}{\frac{- 1 (- 1)}{- - 1}}$

Step 3.2

Move the negative in front of the fraction.

$\frac{| - 2 |}{- \frac{1}{- 1}}$

Step 4

Move the negative one from the denominator of $\frac{1}{- 1}$ .

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

Step 5

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

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

Step 6

Simplify the denominator.

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Step 6.1

Multiply $- 1$ by $- 1$ .

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

Step 6.2

Multiply $1$ by $1$ .

$\frac{2}{1}$

Step 7

Divide $2$ by $1$ .

$2$