Finite Math Examples

$x + \frac{600 ((x + 600) \cdot 12 \cdot 51)}{36000}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factors.

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Step 1.1.1

Factor $600$ out of $36000$ .

$x + \frac{600 ((x + 600) \cdot 12 \cdot 51)}{600 \cdot 60}$

Step 1.1.2

Cancel the common factor.

$x + \frac{600 ((x + 600) \cdot 12 \cdot 51)}{600 \cdot 60}$

Step 1.1.3

Rewrite the expression.

$x + \frac{(x + 600) \cdot 12 \cdot 51}{60}$

Step 1.2

Cancel the common factor of $12$ and $60$ .

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Step 1.2.1

Factor $12$ out of $(x + 600) \cdot 12 \cdot 51$ .

$x + \frac{12 ((x + 600) \cdot 51)}{60}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $12$ out of $60$ .

$x + \frac{12 ((x + 600) \cdot 51)}{12 \cdot 5}$

Step 1.2.2.2

Cancel the common factor.

$x + \frac{12 ((x + 600) \cdot 51)}{12 \cdot 5}$

Step 1.2.2.3

Rewrite the expression.

$x + \frac{(x + 600) \cdot 51}{5}$

Step 1.3

Move $51$ to the left of $x + 600$ .

$x + \frac{51 (x + 600)}{5}$

Step 2

To write $x$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$x \cdot \frac{5}{5} + \frac{51 (x + 600)}{5}$

Step 3

Simplify terms.

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Step 3.1

Combine $x$ and $\frac{5}{5}$ .

$\frac{x \cdot 5}{5} + \frac{51 (x + 600)}{5}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{x \cdot 5 + 51 (x + 600)}{5}$

Step 4

Simplify the numerator.

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Step 4.1

Move $5$ to the left of $x$ .

$\frac{5 \cdot x + 51 (x + 600)}{5}$

Step 4.2

Apply the distributive property.

$\frac{5 x + 51 x + 51 \cdot 600}{5}$

Step 4.3

Multiply $51$ by $600$ .

$\frac{5 x + 51 x + 30600}{5}$

Step 4.4

Add $5 x$ and $51 x$ .

$\frac{56 x + 30600}{5}$

Step 4.5

Factor $8$ out of $56 x + 30600$ .

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Step 4.5.1

Factor $8$ out of $56 x$ .

$\frac{8 (7 x) + 30600}{5}$

Step 4.5.2

Factor $8$ out of $30600$ .

$\frac{8 (7 x) + 8 (3825)}{5}$

Step 4.5.3

Factor $8$ out of $8 (7 x) + 8 (3825)$ .

$\frac{8 (7 x + 3825)}{5}$