Basic Math Examples

\frac{a}{40} = \frac{25}{100}

$\frac{a}{40} = \frac{25}{100}$

Step 1

Multiply both sides of the equation by

40

$40$ .

40 \frac{a}{40} = 40 (\frac{25}{100})

$40 \frac{a}{40} = 40 (\frac{25}{100})$

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

40

$40$ .

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Step 2.1.1.1

Cancel the common factor.

$40 \frac{a}{40} = 40 (\frac{25}{100})$

Step 2.1.1.2

Rewrite the expression.

$a = 40 (\frac{25}{100})$

$a = 40 (\frac{25}{100})$

$a = 40 (\frac{25}{100})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify

$40 (\frac{25}{100})$ .

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Step 2.2.1.1

Cancel the common factor of

$20$ .

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Step 2.2.1.1.1

Factor

$20$ out of

$40$ .

$a = 20 (2) \frac{25}{100}$

Step 2.2.1.1.2

Factor

$20$ out of

$100$ .

$a = 20 \cdot 2 \frac{25}{20 \cdot 5}$

Step 2.2.1.1.3

Cancel the common factor.

$a = 20 \cdot 2 \frac{25}{20 \cdot 5}$

Step 2.2.1.1.4

Rewrite the expression.

$a = 2 (\frac{25}{5})$

$a = 2 (\frac{25}{5})$

Step 2.2.1.2

Combine

$2$ and

$\frac{25}{5}$ .

$a = \frac{2 \cdot 25}{5}$

Step 2.2.1.3

Simplify the expression.

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Step 2.2.1.3.1

Multiply

$2$ by

$25$ .

$a = \frac{50}{5}$

Step 2.2.1.3.2

Divide

$50$ by

$5$ .

$a = 10$

$a = 10$

$a = 10$

$a = 10$

$a = 10$

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