Basic Math Examples

$\frac{2}{3} = \frac{a}{30}$

Step 1

Rewrite the equation as

$\frac{a}{30} = \frac{2}{3}$ .

$\frac{a}{30} = \frac{2}{3}$

Step 2

Multiply both sides of the equation by

$30$ .

$30 \frac{a}{30} = 30 (\frac{2}{3})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of

$30$ .

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Step 3.1.1.1

Cancel the common factor.

$30 \frac{a}{30} = 30 (\frac{2}{3})$

Step 3.1.1.2

Rewrite the expression.

$a = 30 (\frac{2}{3})$

$a = 30 (\frac{2}{3})$

$a = 30 (\frac{2}{3})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify

$30 (\frac{2}{3})$ .

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Step 3.2.1.1

Cancel the common factor of

$3$ .

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Step 3.2.1.1.1

Factor

$3$ out of

$30$ .

$a = 3 (10) \frac{2}{3}$

Step 3.2.1.1.2

Cancel the common factor.

$a = 3 \cdot 10 \frac{2}{3}$

Step 3.2.1.1.3

Rewrite the expression.

$a = 10 \cdot 2$

$a = 10 \cdot 2$

Step 3.2.1.2

Multiply

$10$ by

$2$ .

$a = 20$

$a = 20$

$a = 20$

$a = 20$

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