Basic Math Examples

$((8 + 4) \cdot 24 \div 4 - 12) \div 4$

Step 1

Rewrite the division as a fraction.

$\frac{(8 + 4) \cdot 24 \div 4 - 12}{4}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $8 + 4$ and $4$ .

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Step 2.1.1

Factor $4$ out of $(8 + 4) \cdot 24$ .

$\frac{4 ((2 + 1) \cdot 24) \div 4 - 12}{4}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $4$ out of $4$ .

$\frac{4 ((2 + 1) \cdot 24) \div 4 (1) - 12}{4}$

Step 2.1.2.2

Cancel the common factor.

$\frac{4 ((2 + 1) \cdot 24) \div 4 \cdot 1 - 12}{4}$

Step 2.1.2.3

Rewrite the expression.

$\frac{\frac{(2 + 1) \cdot 24}{1} - 12}{4}$

Step 2.1.2.4

Divide $(2 + 1) \cdot 24$ by $1$ .

$\frac{(2 + 1) \cdot 24 - 12}{4}$

Step 2.2

Cancel the common factor of $(2 + 1) \cdot 24 - 12$ and $4$ .

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Step 2.2.1

Factor $4$ out of $(2 + 1) \cdot 24$ .

$\frac{4 ((2 + 1) \cdot 6) - 12}{4}$

Step 2.2.2

Factor $4$ out of $- 12$ .

$\frac{4 ((2 + 1) \cdot 6) + 4 \cdot - 3}{4}$

Step 2.2.3

Factor $4$ out of $4 ((2 + 1) \cdot 6) + 4 (- 3)$ .

$\frac{4 ((2 + 1) \cdot 6 - 3)}{4}$

Step 2.2.4

Cancel the common factors.

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Step 2.2.4.1

Factor $4$ out of $4$ .

$\frac{4 ((2 + 1) \cdot 6 - 3)}{4 (1)}$

Step 2.2.4.2

Cancel the common factor.

$\frac{4 ((2 + 1) \cdot 6 - 3)}{4 \cdot 1}$

Step 2.2.4.3

Rewrite the expression.

$\frac{(2 + 1) \cdot 6 - 3}{1}$

Step 2.2.4.4

Divide $(2 + 1) \cdot 6 - 3$ by $1$ .

$(2 + 1) \cdot 6 - 3$

Step 3

Simplify each term.

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Step 3.1

Add $2$ and $1$ .

$3 \cdot 6 - 3$

Step 3.2

Multiply $3$ by $6$ .

$18 - 3$

Step 4

Subtract $3$ from $18$ .

$15$