Pre-Algebra Examples

$\frac{1}{3} a = \frac{3}{4}$

Step 1

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} a) = 3 (\frac{3}{4})$

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 $3 (\frac{1}{3} a)$ .

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Step 2.1.1.1

Combine $\frac{1}{3}$ and $a$ .

$3 \frac{a}{3} = 3 (\frac{3}{4})$

Step 2.1.1.2

Cancel the common factor of $3$ .

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Step 2.1.1.2.1

Cancel the common factor.

$3 \frac{a}{3} = 3 (\frac{3}{4})$

Step 2.1.1.2.2

Rewrite the expression.

$a = 3 (\frac{3}{4})$

$a = 3 (\frac{3}{4})$

$a = 3 (\frac{3}{4})$

$a = 3 (\frac{3}{4})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $3 (\frac{3}{4})$ .

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Step 2.2.1.1

Combine $3$ and $\frac{3}{4}$ .

$a = \frac{3 \cdot 3}{4}$

Step 2.2.1.2

Multiply $3$ by $3$ .

$a = \frac{9}{4}$

$a = \frac{9}{4}$

$a = \frac{9}{4}$

$a = \frac{9}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a = \frac{9}{4}$

Decimal Form:

$a = 2.25$

Mixed Number Form:

$a = 2 \frac{1}{4}$

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