Algebra Examples

$\frac{a}{2} = \frac{13}{20}$

Step 1

Multiply both sides of the equation by $2$ .

$2 \frac{a}{2} = 2 (\frac{13}{20})$

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

Cancel the common factor of $2$ .

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Step 2.1.1.1

Cancel the common factor.

$2 \frac{a}{2} = 2 (\frac{13}{20})$

Step 2.1.1.2

Rewrite the expression.

$a = 2 (\frac{13}{20})$

$a = 2 (\frac{13}{20})$

$a = 2 (\frac{13}{20})$

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 $20$ .

$a = 2 \frac{13}{2 (10)}$

Step 2.2.1.2

Cancel the common factor.

$a = 2 \frac{13}{2 \cdot 10}$

Step 2.2.1.3

Rewrite the expression.

$a = \frac{13}{10}$

$a = \frac{13}{10}$

$a = \frac{13}{10}$

$a = \frac{13}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a = \frac{13}{10}$

Decimal Form:

$a = 1.3$

Mixed Number Form:

$a = 1 \frac{3}{10}$

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