Finite Math Examples

$\frac{m}{3} - 4 = \frac{2}{3}$

Step 1

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

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Step 1.1

Add $4$ to both sides of the equation.

$\frac{m}{3} = \frac{2}{3} + 4$

Step 1.2

To write $4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{m}{3} = \frac{2}{3} + 4 \cdot \frac{3}{3}$

Step 1.3

Combine $4$ and $\frac{3}{3}$ .

$\frac{m}{3} = \frac{2}{3} + \frac{4 \cdot 3}{3}$

Step 1.4

Combine the numerators over the common denominator.

$\frac{m}{3} = \frac{2 + 4 \cdot 3}{3}$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $4$ by $3$ .

$\frac{m}{3} = \frac{2 + 12}{3}$

Step 1.5.2

Add $2$ and $12$ .

$\frac{m}{3} = \frac{14}{3}$

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$m = 14$