Finite Math Examples

$8 + \frac{6 \cdot 4 - 8}{6}$

Step 1

Simplify the expression.

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Step 1.1

Multiply $6$ by $4$ .

$8 + \frac{24 - 8}{6}$

Step 1.2

Subtract $8$ from $24$ .

$8 + \frac{16}{6}$

Step 2

Cancel the common factor of $16$ and $6$ .

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Step 2.1

Factor $2$ out of $16$ .

$8 + \frac{2 (8)}{6}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $6$ .

$8 + \frac{2 \cdot 8}{2 \cdot 3}$

Step 2.2.2

Cancel the common factor.

$8 + \frac{2 \cdot 8}{2 \cdot 3}$

Step 2.2.3

Rewrite the expression.

$8 + \frac{8}{3}$

Step 3

To write $8$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$8 \cdot \frac{3}{3} + \frac{8}{3}$

Step 4

Combine $8$ and $\frac{3}{3}$ .

$\frac{8 \cdot 3}{3} + \frac{8}{3}$

Step 5

Combine the numerators over the common denominator.

$\frac{8 \cdot 3 + 8}{3}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $8$ by $3$ .

$\frac{24 + 8}{3}$

Step 6.2

Add $24$ and $8$ .

$\frac{32}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{32}{3}$

Decimal Form:

$10.\overline{6}$

Mixed Number Form:

$10 \frac{2}{3}$