Basic Math Examples

\frac{1}{2} n = \frac{3}{4}

$\frac{1}{2} n = \frac{3}{4}$

Step 1

Multiply both sides of the equation by

$2$ .

$2 (\frac{1}{2} n) = 2 (\frac{3}{4})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify

$2 (\frac{1}{2} n)$ .

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Step 2.1.1.1

Combine

$\frac{1}{2}$ and

$n$ .

$2 \frac{n}{2} = 2 (\frac{3}{4})$

Step 2.1.1.2

Cancel the common factor of

$2$ .

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Step 2.1.1.2.1

Cancel the common factor.

$2 \frac{n}{2} = 2 (\frac{3}{4})$

Step 2.1.1.2.2

Rewrite the expression.

$n = 2 (\frac{3}{4})$

$n = 2 (\frac{3}{4})$

$n = 2 (\frac{3}{4})$

$n = 2 (\frac{3}{4})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of

$2$ .

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Step 2.2.1.1

Factor

$2$ out of

$4$ .

$n = 2 \frac{3}{2 (2)}$

Step 2.2.1.2

Cancel the common factor.

$n = 2 \frac{3}{2 \cdot 2}$

Step 2.2.1.3

Rewrite the expression.

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

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

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

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$n = 1.5$

Mixed Number Form:

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$