Algebra Examples

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

Step 1

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

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Step 1.1

Subtract $\frac{1}{4}$ from both sides of the equation.

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

Step 1.2

Combine the numerators over the common denominator.

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

Step 1.3

Subtract $1$ from $3$ .

$\frac{x}{2} = \frac{2}{4}$

Step 1.4

Cancel the common factor of $2$ and $4$ .

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Step 1.4.1

Factor $2$ out of $2$ .

$\frac{x}{2} = \frac{2 (1)}{4}$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $2$ out of $4$ .

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

Step 1.4.2.2

Cancel the common factor.

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

Step 1.4.2.3

Rewrite the expression.

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

Step 2

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

$x = 1$