Basic Math Examples

$\frac{16 - 12 \div 2 - 20}{10 \cdot 5 - 5 \cdot 0}$

Step 1

Cancel the common factor of $12$ and $2$ .

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Step 1.1

Factor $2$ out of $12$ .

$\frac{16 - 2 \cdot 6 \div 2 - 20}{10 \cdot 5 - 5 \cdot 0}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $2$ .

$\frac{16 - 2 \cdot 6 \div 2 (1) - 20}{10 \cdot 5 - 5 \cdot 0}$

Step 1.2.2

Cancel the common factor.

$\frac{16 - 2 \cdot 6 \div 2 \cdot 1 - 20}{10 \cdot 5 - 5 \cdot 0}$

Step 1.2.3

Rewrite the expression.

$\frac{16 - \frac{6}{1} - 20}{10 \cdot 5 - 5 \cdot 0}$

Step 1.2.4

Divide $6$ by $1$ .

$\frac{16 - 1 \cdot 6 - 20}{10 \cdot 5 - 5 \cdot 0}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $- 1$ by $6$ .

$\frac{16 - 6 - 20}{10 \cdot 5 - 5 \cdot 0}$

Step 2.2

Subtract $6$ from $16$ .

$\frac{10 - 20}{10 \cdot 5 - 5 \cdot 0}$

Step 2.3

Subtract $20$ from $10$ .

$\frac{- 10}{10 \cdot 5 - 5 \cdot 0}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $10$ by $5$ .

$\frac{- 10}{50 - 5 \cdot 0}$

Step 3.2

Multiply $- 5$ by $0$ .

$\frac{- 10}{50 + 0}$

Step 3.3

Add $50$ and $0$ .

$\frac{- 10}{50}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Cancel the common factor of $- 10$ and $50$ .

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Step 4.1.1

Factor $10$ out of $- 10$ .

$\frac{10 (- 1)}{50}$

Step 4.1.2

Cancel the common factors.

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Step 4.1.2.1

Factor $10$ out of $50$ .

$\frac{10 \cdot - 1}{10 \cdot 5}$

Step 4.1.2.2

Cancel the common factor.

$\frac{10 \cdot - 1}{10 \cdot 5}$

Step 4.1.2.3

Rewrite the expression.

$\frac{- 1}{5}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{1}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{5}$

Decimal Form:

$- 0.2$