Finite Math Examples

$\frac{m}{9} + \frac{2}{3} = \frac{7}{3}$

Step 1

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

Tap for more steps...

Step 1.1

Subtract $\frac{2}{3}$ from both sides of the equation.

$\frac{m}{9} = \frac{7}{3} - \frac{2}{3}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{m}{9} = \frac{7 - 2}{3}$

Step 1.3

Subtract $2$ from $7$ .

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

Step 2

Multiply both sides of the equation by $9$ .

$9 \frac{m}{9} = 9 (\frac{5}{3})$

Step 3

Simplify both sides of the equation.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Cancel the common factor of $9$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor.

$9 \frac{m}{9} = 9 (\frac{5}{3})$

Step 3.1.1.2

Rewrite the expression.

$m = 9 (\frac{5}{3})$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Simplify $9 (\frac{5}{3})$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.2.1.1.1

Factor $3$ out of $9$ .

$m = 3 (3) \frac{5}{3}$

Step 3.2.1.1.2

Cancel the common factor.

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

Step 3.2.1.1.3

Rewrite the expression.

$m = 3 \cdot 5$

Step 3.2.1.2

Multiply $3$ by $5$ .

$m = 15$