Finite Math Examples

$46 x = 15$ , $600 + 22 x$

Step 1

Divide each term in $46 x = 15$ by $46$ and simplify.

Tap for more steps...

Step 1.1

Divide each term in $46 x = 15$ by $46$ .

$\frac{46 x}{46} = \frac{15}{46}$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Cancel the common factor of $46$ .

Tap for more steps...

Step 1.2.1.1

Cancel the common factor.

$\frac{46 x}{46} = \frac{15}{46}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{15}{46}$

Step 2

Replace the variable $x$ with $\frac{15}{46}$ in the expression.

$600 + 22 (\frac{15}{46})$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1.1

Factor $2$ out of $22$ .

$600 + 2 (11) \frac{15}{46}$

Step 3.1.2

Factor $2$ out of $46$ .

$600 + 2 \cdot 11 \frac{15}{2 \cdot 23}$

Step 3.1.3

Cancel the common factor.

$600 + 2 \cdot 11 \frac{15}{2 \cdot 23}$

Step 3.1.4

Rewrite the expression.

$600 + 11 (\frac{15}{23})$

Step 3.2

Combine $11$ and $\frac{15}{23}$ .

$600 + \frac{11 \cdot 15}{23}$

Step 3.3

Multiply $11$ by $15$ .

$600 + \frac{165}{23}$

Step 4

To write $600$ as a fraction with a common denominator, multiply by $\frac{23}{23}$ .

$600 \cdot \frac{23}{23} + \frac{165}{23}$

Step 5

Combine $600$ and $\frac{23}{23}$ .

$\frac{600 \cdot 23}{23} + \frac{165}{23}$

Step 6

Combine the numerators over the common denominator.

$\frac{600 \cdot 23 + 165}{23}$

Step 7

Simplify the numerator.

Tap for more steps...

Step 7.1

Multiply $600$ by $23$ .

$\frac{13800 + 165}{23}$

Step 7.2

Add $13800$ and $165$ .

$\frac{13965}{23}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{13965}{23}$

Decimal Form:

$607.17391304 \dots$

Mixed Number Form:

$607 \frac{4}{23}$