Algebra Examples

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

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

Step 1

Subtract

\frac{1}{2}

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

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

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

Step 2

To write

- \frac{1}{2}

$- \frac{1}{2}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 3

Write each expression with a common denominator of

4

$4$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{1}{2}

$\frac{1}{2}$ by

\frac{2}{2}

$\frac{2}{2}$ .

x = \frac{3}{4} - \frac{2}{2 \cdot 2}

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

Step 3.2

Multiply

2

$2$ by

2

$2$ .

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

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

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

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

Step 4

Combine the numerators over the common denominator.

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

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

Step 5

Subtract

2

$2$ from

3

$3$ .

x = \frac{1}{4}

$x = \frac{1}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

x = \frac{1}{4}

$x = \frac{1}{4}$

Decimal Form:

x = 0.25

$x = 0.25$

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

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

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