Pre-Algebra Examples

$\frac{6}{50} = \frac{x}{35}$

Step 1

Rewrite the equation as $\frac{x}{35} = \frac{6}{50}$ .

$\frac{x}{35} = \frac{6}{50}$

Step 2

Multiply both sides of the equation by $35$ .

$35 \frac{x}{35} = 35 (\frac{6}{50})$

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 $35$ .

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Step 3.1.1.1

Cancel the common factor.

$35 \frac{x}{35} = 35 (\frac{6}{50})$

Step 3.1.1.2

Rewrite the expression.

$x = 35 (\frac{6}{50})$

$x = 35 (\frac{6}{50})$

$x = 35 (\frac{6}{50})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $35 (\frac{6}{50})$ .

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Step 3.2.1.1

Cancel the common factor of $5$ .

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Step 3.2.1.1.1

Factor $5$ out of $35$ .

$x = 5 (7) \frac{6}{50}$

Step 3.2.1.1.2

Factor $5$ out of $50$ .

$x = 5 \cdot 7 \frac{6}{5 \cdot 10}$

Step 3.2.1.1.3

Cancel the common factor.

$x = 5 \cdot 7 \frac{6}{5 \cdot 10}$

Step 3.2.1.1.4

Rewrite the expression.

$x = 7 (\frac{6}{10})$

$x = 7 (\frac{6}{10})$

Step 3.2.1.2

Combine $7$ and $\frac{6}{10}$ .

$x = \frac{7 \cdot 6}{10}$

Step 3.2.1.3

Multiply $7$ by $6$ .

$x = \frac{42}{10}$

Step 3.2.1.4

Cancel the common factor of $42$ and $10$ .

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Step 3.2.1.4.1

Factor $2$ out of $42$ .

$x = \frac{2 (21)}{10}$

Step 3.2.1.4.2

Cancel the common factors.

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Step 3.2.1.4.2.1

Factor $2$ out of $10$ .

$x = \frac{2 \cdot 21}{2 \cdot 5}$

Step 3.2.1.4.2.2

Cancel the common factor.

$x = \frac{2 \cdot 21}{2 \cdot 5}$

Step 3.2.1.4.2.3

Rewrite the expression.

$x = \frac{21}{5}$

$x = \frac{21}{5}$

$x = \frac{21}{5}$

$x = \frac{21}{5}$

$x = \frac{21}{5}$

$x = \frac{21}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{21}{5}$

Decimal Form:

$x = 4.2$

Mixed Number Form:

$x = 4 \frac{1}{5}$

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