Basic Math Examples

\frac{400}{20} = \frac{y}{100}

$\frac{400}{20} = \frac{y}{100}$

Step 1

Rewrite the equation as

\frac{y}{100} = \frac{400}{20}

$\frac{y}{100} = \frac{400}{20}$ .

$\frac{y}{100} = \frac{400}{20}$

Step 2

Multiply both sides of the equation by

$100$ .

$100 \frac{y}{100} = 100 (\frac{400}{20})$

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

$100$ .

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Step 3.1.1.1

Cancel the common factor.

$100 \frac{y}{100} = 100 (\frac{400}{20})$

Step 3.1.1.2

Rewrite the expression.

$y = 100 (\frac{400}{20})$

$y = 100 (\frac{400}{20})$

$y = 100 (\frac{400}{20})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify

$100 (\frac{400}{20})$ .

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Step 3.2.1.1

Cancel the common factor of

$20$ .

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Step 3.2.1.1.1

Factor

$20$ out of

$100$ .

$y = 20 (5) \frac{400}{20}$

Step 3.2.1.1.2

Cancel the common factor.

$y = 20 \cdot 5 \frac{400}{20}$

Step 3.2.1.1.3

Rewrite the expression.

$y = 5 \cdot 400$

$y = 5 \cdot 400$

Step 3.2.1.2

Multiply

$5$ by

$400$ .

$y = 2000$

$y = 2000$

$y = 2000$

$y = 2000$

$\frac{400}{20} = \frac{y}{100}$

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