Algebra Examples

$m + \frac{1}{3} = \frac{5}{9}$

Step 1

Subtract $\frac{1}{3}$ from both sides of the equation.

$m = \frac{5}{9} - \frac{1}{3}$

Step 2

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$m = \frac{5}{9} - \frac{1}{3} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of $9$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{3}$ by $\frac{3}{3}$ .

$m = \frac{5}{9} - \frac{3}{3 \cdot 3}$

Step 3.2

Multiply $3$ by $3$ .

$m = \frac{5}{9} - \frac{3}{9}$

Step 4

Combine the numerators over the common denominator.

$m = \frac{5 - 3}{9}$

Step 5

Subtract $3$ from $5$ .

$m = \frac{2}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$m = \frac{2}{9}$

Decimal Form:

$m = 0.\overline{2}$