Finite Math Examples

$x + \frac{1}{2} = 24$

Step 1

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

$x = 24 - \frac{1}{2}$

Step 2

To write $24$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x = 24 \cdot \frac{2}{2} - \frac{1}{2}$

Step 3

Combine $24$ and $\frac{2}{2}$ .

$x = \frac{24 \cdot 2}{2} - \frac{1}{2}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{24 \cdot 2 - 1}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $24$ by $2$ .

$x = \frac{48 - 1}{2}$

Step 5.2

Subtract $1$ from $48$ .

$x = \frac{47}{2}$

Step 6