Algebra Examples

$n - \frac{8}{9} = \frac{4}{9}$

Step 1

Add $\frac{8}{9}$ to both sides of the equation.

$n = \frac{4}{9} + \frac{8}{9}$

Step 2

Combine the numerators over the common denominator.

$n = \frac{4 + 8}{9}$

Step 3

Add $4$ and $8$ .

$n = \frac{12}{9}$

Step 4

Cancel the common factor of $12$ and $9$ .

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Step 4.1

Factor $3$ out of $12$ .

$n = \frac{3 (4)}{9}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $9$ .

$n = \frac{3 \cdot 4}{3 \cdot 3}$

Step 4.2.2

Cancel the common factor.

$n = \frac{3 \cdot 4}{3 \cdot 3}$

Step 4.2.3

Rewrite the expression.

$n = \frac{4}{3}$

$n = \frac{4}{3}$

$n = \frac{4}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$n = \frac{4}{3}$

Decimal Form:

$n = 1.\overline{3}$

Mixed Number Form:

$n = 1 \frac{1}{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$