Basic Math Examples

$| \frac{4 a}{9} - 1 | = 0$

Step 1

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$\frac{4 a}{9} - 1 = \pm 0$

Step 2

Plus or minus $0$ is $0$ .

$\frac{4 a}{9} - 1 = 0$

Step 3

Add $1$ to both sides of the equation.

$\frac{4 a}{9} = 1$

Step 4

Multiply both sides of the equation by $\frac{9}{4}$ .

$\frac{9}{4} \cdot \frac{4 a}{9} = \frac{9}{4} \cdot 1$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Simplify $\frac{9}{4} \cdot \frac{4 a}{9}$ .

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Step 5.1.1.1

Cancel the common factor of $9$ .

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Step 5.1.1.1.1

Cancel the common factor.

$\frac{9}{4} \cdot \frac{4 a}{9} = \frac{9}{4} \cdot 1$

Step 5.1.1.1.2

Rewrite the expression.

$\frac{1}{4} (4 a) = \frac{9}{4} \cdot 1$

Step 5.1.1.2

Cancel the common factor of $4$ .

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Step 5.1.1.2.1

Factor $4$ out of $4 a$ .

$\frac{1}{4} (4 (a)) = \frac{9}{4} \cdot 1$

Step 5.1.1.2.2

Cancel the common factor.

$\frac{1}{4} (4 a) = \frac{9}{4} \cdot 1$

Step 5.1.1.2.3

Rewrite the expression.

$a = \frac{9}{4} \cdot 1$

Step 5.2

Simplify the right side.

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Step 5.2.1

Multiply $\frac{9}{4}$ by $1$ .

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$a = 2.25$

Mixed Number Form:

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