Pre-Algebra Examples

$\frac{4.5 x \cdot 10^{9}}{2.4 x^{10} - 13}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $10$ to the power of $9$ .

$\frac{4.5 x \cdot 1000000000}{2.4 x^{10} - 13}$

Step 1.2

Multiply $1000000000$ by $4.5$ .

$\frac{4500000000 x}{2.4 x^{10} - 13}$

Step 2

Factor $0.2$ out of $2.4 x^{10} - 13$ .

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Step 2.1

Factor $0.2$ out of $2.4 x^{10}$ .

$\frac{4500000000 x}{0.2 (12 x^{10}) - 13}$

Step 2.2

Factor $0.2$ out of $- 13$ .

$\frac{4500000000 x}{0.2 (12 x^{10}) + 0.2 (- 65)}$

Step 2.3

Factor $0.2$ out of $0.2 (12 x^{10}) + 0.2 (- 65)$ .

$\frac{4500000000 x}{0.2 (12 x^{10} - 65)}$

Step 3

Factor $4500000000$ out of $4500000000 x$ .

$\frac{4500000000 (x)}{0.2 (12 x^{10} - 65)}$

Step 4

Separate fractions.

$\frac{4500000000}{0.2} \cdot \frac{x}{12 x^{10} - 65}$

Step 5

Divide $4500000000$ by $0.2$ .

$22500000000 \frac{x}{12 x^{10} - 65}$

Step 6

Combine $22500000000$ and $\frac{x}{12 x^{10} - 65}$ .

$\frac{22500000000 x}{12 x^{10} - 65}$