Pre-Algebra Examples

\frac{2}{7} = \frac{x}{21}

$\frac{2}{7} = \frac{x}{21}$

Step 1

Rewrite the equation as

\frac{x}{21} = \frac{2}{7}

$\frac{x}{21} = \frac{2}{7}$ .

\frac{x}{21} = \frac{2}{7}

$\frac{x}{21} = \frac{2}{7}$

Step 2

Multiply both sides of the equation by

21

$21$ .

21 \frac{x}{21} = 21 (\frac{2}{7})

$21 \frac{x}{21} = 21 (\frac{2}{7})$

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

21

$21$ .

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Step 3.1.1.1

Cancel the common factor.

$21 \frac{x}{21} = 21 (\frac{2}{7})$

Step 3.1.1.2

Rewrite the expression.

$x = 21 (\frac{2}{7})$

$x = 21 (\frac{2}{7})$

$x = 21 (\frac{2}{7})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify

$21 (\frac{2}{7})$ .

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Step 3.2.1.1

Cancel the common factor of

$7$ .

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Step 3.2.1.1.1

Factor

$7$ out of

$21$ .

$x = 7 (3) \frac{2}{7}$

Step 3.2.1.1.2

Cancel the common factor.

$x = 7 \cdot 3 \frac{2}{7}$

Step 3.2.1.1.3

Rewrite the expression.

$x = 3 \cdot 2$

$x = 3 \cdot 2$

Step 3.2.1.2

Multiply

$3$ by

$2$ .

$x = 6$

$x = 6$

$x = 6$

$x = 6$

$\frac{2}{7} = \frac{x}{21}$

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