Finite Math Examples

$\frac{x}{2} + \frac{1}{2} = \frac{3 x}{4}$

Step 1

Subtract $\frac{3 x}{4}$ from both sides of the equation.

$\frac{x}{2} + \frac{1}{2} - \frac{3 x}{4} = 0$

Step 2

Simplify $\frac{x}{2} + \frac{1}{2} - \frac{3 x}{4}$ .

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Step 2.1

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

$\frac{x}{2} \cdot \frac{2}{2} - \frac{3 x}{4} + \frac{1}{2} = 0$

Step 2.2

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.2.1

Multiply $\frac{x}{2}$ by $\frac{2}{2}$ .

$\frac{x \cdot 2}{2 \cdot 2} - \frac{3 x}{4} + \frac{1}{2} = 0$

Step 2.2.2

Multiply $2$ by $2$ .

$\frac{x \cdot 2}{4} - \frac{3 x}{4} + \frac{1}{2} = 0$

Step 2.3

Combine the numerators over the common denominator.

$\frac{x \cdot 2 - 3 x}{4} + \frac{1}{2} = 0$

Step 2.4

Subtract $3 x$ from $x \cdot 2$ .

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Step 2.4.1

Reorder $x$ and $2$ .

$\frac{2 \cdot x - 3 x}{4} + \frac{1}{2} = 0$

Step 2.4.2

Subtract $3 x$ from $2 \cdot x$ .

$\frac{- x}{4} + \frac{1}{2} = 0$

Step 2.5

Move the negative in front of the fraction.

$- \frac{x}{4} + \frac{1}{2} = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.