Basic Math Examples

$\frac{15 \div 5 \cdot 4 \div 6 - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $15$ and $5$ .

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Step 1.1.1

Factor $5$ out of $15$ .

$\frac{5 \cdot 3 \div 5 \cdot 4 \div 6 - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $5$ out of $5$ .

$\frac{5 \cdot 3 \div 5 (1) \cdot 4 \div 6 - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.1.2.2

Cancel the common factor.

$\frac{5 \cdot 3 \div 5 \cdot 1 \cdot 4 \div 6 - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.1.2.3

Rewrite the expression.

$\frac{\frac{3}{1} \cdot 4 \div 6 - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.1.2.4

Divide $3$ by $1$ .

$\frac{3 \cdot 4 \div 6 - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.2

Cancel the common factor of $3$ and $6$ .

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Step 1.2.1

Factor $3$ out of $3 \cdot 4$ .

$\frac{3 (4) \div 6 - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $3$ out of $6$ .

$\frac{3 \cdot 4 \div 3 \cdot 2 - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.2.2.2

Cancel the common factor.

$\frac{3 \cdot 4 \div 3 \cdot 2 - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.2.2.3

Rewrite the expression.

$\frac{\frac{4}{2} - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.3

Cancel the common factor of $4$ and $2$ .

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Step 1.3.1

Factor $2$ out of $4$ .

$\frac{\frac{2 \cdot 2}{2} - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $2$ out of $2$ .

$\frac{\frac{2 \cdot 2}{2 (1)} - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.3.2.2

Cancel the common factor.

$\frac{\frac{2 \cdot 2}{2 \cdot 1} - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.3.2.3

Rewrite the expression.

$\frac{\frac{2}{1} - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.3.2.4

Divide $2$ by $1$ .

$\frac{2 - 8}{- 6 - (- 5) - 8 \div 2}$

Step 1.4

Cancel the common factor of $8$ and $2$ .

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Step 1.4.1

Factor $2$ out of $8$ .

$\frac{2 - 8}{- 6 - (- 5) - 2 \cdot 4 \div 2}$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $2$ out of $2$ .

$\frac{2 - 8}{- 6 - (- 5) - 2 \cdot 4 \div 2 (1)}$

Step 1.4.2.2

Cancel the common factor.

$\frac{2 - 8}{- 6 - (- 5) - 2 \cdot 4 \div 2 \cdot 1}$

Step 1.4.2.3

Rewrite the expression.

$\frac{2 - 8}{- 6 - (- 5) - \frac{4}{1}}$

Step 1.4.2.4

Divide $4$ by $1$ .

$\frac{2 - 8}{- 6 - (- 5) - 1 \cdot 4}$

Step 1.5

Subtract $8$ from $2$ .

$\frac{- 6}{- 6 - (- 5) - 1 \cdot 4}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $- 1$ by $- 5$ .

$\frac{- 6}{- 6 + 5 - 1 \cdot 4}$

Step 2.2

Multiply $- 1$ by $4$ .

$\frac{- 6}{- 6 + 5 - 4}$

Step 2.3

Add $- 6$ and $5$ .

$\frac{- 6}{- 1 - 4}$

Step 2.4

Subtract $4$ from $- 1$ .

$\frac{- 6}{- 5}$

Step 3

Dividing two negative values results in a positive value.

$\frac{6}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{5}$

Decimal Form:

$1.2$

Mixed Number Form:

$1 \frac{1}{5}$