Algebra Examples

$\frac{16}{6} = \frac{3 x}{9}$

Step 1

Rewrite the equation as $\frac{3 x}{9} = \frac{16}{6}$ .

$\frac{3 x}{9} = \frac{16}{6}$

Step 2

Cancel the common factor of $3$ and $9$ .

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Step 2.1

Factor $3$ out of $3 x$ .

$\frac{3 (x)}{9} = \frac{16}{6}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $9$ .

$\frac{3 x}{3 \cdot 3} = \frac{16}{6}$

Step 2.2.2

Cancel the common factor.

$\frac{3 x}{3 \cdot 3} = \frac{16}{6}$

Step 2.2.3

Rewrite the expression.

$\frac{x}{3} = \frac{16}{6}$

$\frac{x}{3} = \frac{16}{6}$

$\frac{x}{3} = \frac{16}{6}$

Step 3

Multiply both sides by $3$ .

$\frac{x}{3} \cdot 3 = \frac{16}{6} \cdot 3$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $3$ .

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Step 4.1.1.1

Cancel the common factor.

$\frac{x}{3} \cdot 3 = \frac{16}{6} \cdot 3$

Step 4.1.1.2

Rewrite the expression.

$x = \frac{16}{6} \cdot 3$

$x = \frac{16}{6} \cdot 3$

$x = \frac{16}{6} \cdot 3$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $\frac{16}{6} \cdot 3$ .

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Step 4.2.1.1

Cancel the common factor of $3$ .

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Step 4.2.1.1.1

Factor $3$ out of $6$ .

$x = \frac{16}{3 (2)} \cdot 3$

Step 4.2.1.1.2

Cancel the common factor.

$x = \frac{16}{3 \cdot 2} \cdot 3$

Step 4.2.1.1.3

Rewrite the expression.

$x = \frac{16}{2}$

$x = \frac{16}{2}$

Step 4.2.1.2

Divide $16$ by $2$ .

$x = 8$

$x = 8$

$x = 8$

$x = 8$

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