Finite Math Examples

$\frac{6}{7} = x - \frac{6}{14}$

Step 1

Rewrite the equation as $x - \frac{6}{14} = \frac{6}{7}$ .

$x - \frac{6}{14} = \frac{6}{7}$

Step 2

Cancel the common factor of $6$ and $14$ .

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Step 2.1

Factor $2$ out of $6$ .

$x - \frac{2 (3)}{14} = \frac{6}{7}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $14$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$x - \frac{3}{7} = \frac{6}{7}$

Step 3

Move all terms not containing $x$ to the right side of the equation.

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Step 3.1

Add $\frac{3}{7}$ to both sides of the equation.

$x = \frac{6}{7} + \frac{3}{7}$

Step 3.2

Combine the numerators over the common denominator.

$x = \frac{6 + 3}{7}$

Step 3.3

Add $6$ and $3$ .

$x = \frac{9}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{7}$

Decimal Form:

$x = 1.\overline{285714}$

Mixed Number Form:

$x = 1 \frac{2}{7}$