Pre-Algebra Examples

$\frac{1}{3} = \frac{x}{42}$

Step 1

Rewrite the equation as $\frac{x}{42} = \frac{1}{3}$ .

$\frac{x}{42} = \frac{1}{3}$

Step 2

Multiply both sides of the equation by $42$ .

$42 \frac{x}{42} = 42 (\frac{1}{3})$

Step 3

Simplify both sides of the equation.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Cancel the common factor of $42$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor.

$42 \frac{x}{42} = 42 (\frac{1}{3})$

Step 3.1.1.2

Rewrite the expression.

$x = 42 (\frac{1}{3})$

$x = 42 (\frac{1}{3})$

$x = 42 (\frac{1}{3})$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.2.1.1

Factor $3$ out of $42$ .

$x = 3 (14) \frac{1}{3}$

Step 3.2.1.2

Cancel the common factor.

$x = 3 \cdot 14 \frac{1}{3}$

Step 3.2.1.3

Rewrite the expression.

$x = 14$

$x = 14$

$x = 14$

$x = 14$

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