Algebra Examples

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

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

Step 1

Add

1

$1$ to both sides of the equation.

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

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

Step 2

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 3

Combine the numerators over the common denominator.

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

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

Step 4

Add

1

$1$ and

2

$2$ .

x = \frac{3}{2}

$x = \frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

x = \frac{3}{2}

$x = \frac{3}{2}$

Decimal Form:

x = 1.5

$x = 1.5$

Mixed Number Form:

x = 1 \frac{1}{2}

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