Solve for m m+1/3=5/9

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

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

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

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

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

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

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

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

Multiply $3$ by $3$ .

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

Combine the numerators over the common denominator.

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

Subtract $3$ from $5$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$m = 0.\overline{2}$