Algebra Examples

$\frac{20 - 0}{2006 - 1994}$

Step 1

Cancel the common factor of $20 - 0$ and $2006 - 1994$ .

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Step 1.1

Rewrite $20$ as $- 1 (- 20)$ .

$\frac{- 1 (- 20) - 0}{2006 - 1994}$

Step 1.2

Factor $- 1$ out of $- 0$ .

$\frac{- 1 (- 20) - (0)}{2006 - 1994}$

Step 1.3

Factor $- 1$ out of $- 1 (- 20) - (0)$ .

$\frac{- 1 (- 20 + 0)}{2006 - 1994}$

Step 1.4

Factor $2$ out of $- 1 (- 20 + 0)$ .

$\frac{2 (- 1 (- 10 + 0))}{2006 - 1994}$

Step 1.5

Cancel the common factors.

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Step 1.5.1

Factor $2$ out of $2006$ .

$\frac{2 (- 1 (- 10 + 0))}{2 (1003) - 1994}$

Step 1.5.2

Factor $2$ out of $- 1994$ .

$\frac{2 (- 1 (- 10 + 0))}{2 \cdot 1003 + 2 \cdot - 997}$

Step 1.5.3

Factor $2$ out of $2 \cdot 1003 + 2 \cdot - 997$ .

$\frac{2 (- 1 (- 10 + 0))}{2 \cdot (1003 - 997)}$

Step 1.5.4

Cancel the common factor.

$\frac{2 (- 1 (- 10 + 0))}{2 \cdot (1003 - 997)}$

Step 1.5.5

Rewrite the expression.

$\frac{- 1 (- 10 + 0)}{1003 - 997}$

Step 2

Simplify the expression.

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Step 2.1

Add $- 10$ and $0$ .

$\frac{- 1 \cdot - 10}{1003 - 997}$

Step 2.2

Subtract $997$ from $1003$ .

$\frac{- 1 \cdot - 10}{6}$

Step 2.3

Multiply $- 1$ by $- 10$ .

$\frac{10}{6}$

Step 3

Cancel the common factor of $10$ and $6$ .

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Step 3.1

Factor $2$ out of $10$ .

$\frac{2 (5)}{6}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 5}{2 \cdot 3}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 5}{2 \cdot 3}$

Step 3.2.3

Rewrite the expression.

$\frac{5}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{3}$

Decimal Form:

$1.\overline{6}$

Mixed Number Form:

$1 \frac{2}{3}$