Basic Math Examples

$\frac{- 25 \div 5 + (- 3) (- 4) - 7}{8 - (18 \div 3)}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $- 25$ and $5$ .

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Step 1.1.1

Factor $5$ out of $- 25$ .

$\frac{5 \cdot - 5 \div 5 + (- 3) (- 4) - 7}{8 - (18 \div 3)}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $5$ out of $5$ .

$\frac{5 \cdot - 5 \div 5 (1) + (- 3) (- 4) - 7}{8 - (18 \div 3)}$

Step 1.1.2.2

Cancel the common factor.

$\frac{5 \cdot - 5 \div 5 \cdot 1 + (- 3) (- 4) - 7}{8 - (18 \div 3)}$

Step 1.1.2.3

Rewrite the expression.

$\frac{\frac{- 5}{1} + (- 3) (- 4) - 7}{8 - (18 \div 3)}$

Step 1.1.2.4

Divide $- 5$ by $1$ .

$\frac{- 5 + (- 3) (- 4) - 7}{8 - (18 \div 3)}$

Step 1.2

Cancel the common factor of $18$ and $3$ .

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Step 1.2.1

Factor $3$ out of $18$ .

$\frac{- 5 + (- 3) (- 4) - 7}{8 - 3 \cdot 6 \div 3}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $3$ out of $3$ .

$\frac{- 5 + (- 3) (- 4) - 7}{8 - 3 \cdot 6 \div 3 (1)}$

Step 1.2.2.2

Cancel the common factor.

$\frac{- 5 + (- 3) (- 4) - 7}{8 - 3 \cdot 6 \div 3 \cdot 1}$

Step 1.2.2.3

Rewrite the expression.

$\frac{- 5 + (- 3) (- 4) - 7}{8 - \frac{6}{1}}$

Step 1.2.2.4

Divide $6$ by $1$ .

$\frac{- 5 + (- 3) (- 4) - 7}{8 - 1 \cdot 6}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $- 3$ by $- 4$ .

$\frac{- 5 + 12 - 7}{8 - 1 \cdot 6}$

Step 2.2

Add $- 5$ and $12$ .

$\frac{7 - 7}{8 - 1 \cdot 6}$

Step 2.3

Subtract $7$ from $7$ .

$\frac{0}{8 - 1 \cdot 6}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $- 1$ by $6$ .

$\frac{0}{8 - 6}$

Step 3.2

Subtract $6$ from $8$ .

$\frac{0}{2}$

Step 4

Divide $0$ by $2$ .

$0$