Pre-Algebra Examples

$(6 - 6 \div (8 - 4)) \cdot 7 - 6$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Rewrite the division as a fraction.

$(6 - \frac{6}{8 - 4}) \cdot 7 - 6$

Step 1.1.2

Cancel the common factor of $6$ and $8 - 4$ .

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Step 1.1.2.1

Factor $2$ out of $6$ .

$(6 - \frac{2 (3)}{8 - 4}) \cdot 7 - 6$

Step 1.1.2.2

Cancel the common factors.

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Step 1.1.2.2.1

Factor $2$ out of $8$ .

$(6 - \frac{2 \cdot 3}{2 \cdot 4 - 4}) \cdot 7 - 6$

Step 1.1.2.2.2

Factor $2$ out of $- 4$ .

$(6 - \frac{2 (3)}{2 \cdot 4 + 2 \cdot - 2}) \cdot 7 - 6$

Step 1.1.2.2.3

Factor $2$ out of $2 \cdot 4 + 2 \cdot - 2$ .

$(6 - \frac{2 (3)}{2 \cdot (4 - 2)}) \cdot 7 - 6$

Step 1.1.2.2.4

Cancel the common factor.

$(6 - \frac{2 \cdot 3}{2 \cdot (4 - 2)}) \cdot 7 - 6$

Step 1.1.2.2.5

Rewrite the expression.

$(6 - \frac{3}{4 - 2}) \cdot 7 - 6$

Step 1.1.3

Subtract $2$ from $4$ .

$(6 - \frac{3}{2}) \cdot 7 - 6$

Step 1.2

To write $6$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(6 \cdot \frac{2}{2} - \frac{3}{2}) \cdot 7 - 6$

Step 1.3

Combine $6$ and $\frac{2}{2}$ .

$(\frac{6 \cdot 2}{2} - \frac{3}{2}) \cdot 7 - 6$

Step 1.4

Combine the numerators over the common denominator.

$\frac{6 \cdot 2 - 3}{2} \cdot 7 - 6$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $6$ by $2$ .

$\frac{12 - 3}{2} \cdot 7 - 6$

Step 1.5.2

Subtract $3$ from $12$ .

$\frac{9}{2} \cdot 7 - 6$

Step 1.6

Multiply $\frac{9}{2} \cdot 7$ .

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Step 1.6.1

Combine $\frac{9}{2}$ and $7$ .

$\frac{9 \cdot 7}{2} - 6$

Step 1.6.2

Multiply $9$ by $7$ .

$\frac{63}{2} - 6$

Step 2

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{63}{2} - 6 \cdot \frac{2}{2}$

Step 3

Combine $- 6$ and $\frac{2}{2}$ .

$\frac{63}{2} + \frac{- 6 \cdot 2}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{63 - 6 \cdot 2}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 6$ by $2$ .

$\frac{63 - 12}{2}$

Step 5.2

Subtract $12$ from $63$ .

$\frac{51}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{51}{2}$

Decimal Form:

$25.5$

Mixed Number Form:

$25 \frac{1}{2}$