Calculus Examples

$3 = \frac{1}{2} + m$

Step 1

Rewrite the equation as $\frac{1}{2} + m = 3$ .

$\frac{1}{2} + m = 3$

Step 2

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

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Step 2.1

Subtract $\frac{1}{2}$ from both sides of the equation.

$m = 3 - \frac{1}{2}$

Step 2.2

To write $3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$m = 3 \cdot \frac{2}{2} - \frac{1}{2}$

Step 2.3

Combine $3$ and $\frac{2}{2}$ .

$m = \frac{3 \cdot 2}{2} - \frac{1}{2}$

Step 2.4

Combine the numerators over the common denominator.

$m = \frac{3 \cdot 2 - 1}{2}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $3$ by $2$ .

$m = \frac{6 - 1}{2}$

Step 2.5.2

Subtract $1$ from $6$ .

$m = \frac{5}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$m = \frac{5}{2}$

Decimal Form:

$m = 2.5$

Mixed Number Form:

$m = 2 \frac{1}{2}$