Basic Math Examples

$\frac{6}{(8 | 8 |) C} \cdot 78$

Step 1

Simplify the denominator.

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Step 1.1

The absolute value is the distance between a number and zero. The distance between $0$ and $8$ is $8$ .

$\frac{6}{8 \cdot 8 C} \cdot 78$

Step 1.2

Multiply $8$ by $8$ .

$\frac{6}{64 C} \cdot 78$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Factor $2$ out of $64 C$ .

$\frac{6}{2 (32 C)} \cdot 78$

Step 2.1.2

Factor $2$ out of $78$ .

$\frac{6}{2 (32 C)} \cdot (2 (39))$

Step 2.1.3

Cancel the common factor.

$\frac{6}{2 (32 C)} \cdot (2 \cdot 39)$

Step 2.1.4

Rewrite the expression.

$\frac{6}{32 C} \cdot 39$

Step 2.2

Combine $\frac{6}{32 C}$ and $39$ .

$\frac{6 \cdot 39}{32 C}$

Step 2.3

Multiply $6$ by $39$ .

$\frac{234}{32 C}$

Step 2.4

Cancel the common factor of $234$ and $32$ .

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Step 2.4.1

Factor $2$ out of $234$ .

$\frac{2 (117)}{32 C}$

Step 2.4.2

Cancel the common factors.

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Step 2.4.2.1

Factor $2$ out of $32 C$ .

$\frac{2 (117)}{2 (16 C)}$

Step 2.4.2.2

Cancel the common factor.

$\frac{2 \cdot 117}{2 (16 C)}$

Step 2.4.2.3

Rewrite the expression.

$\frac{117}{16 C}$