Pre-Algebra Examples

$\frac{3 x \cdot 10^{5}}{6 \cdot 10^{2}}$

Step 1

Cancel the common factor of $3$ and $6$ .

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Step 1.1

Factor $3$ out of $3 x \cdot 10^{5}$ .

$\frac{3 (x \cdot 10^{5})}{6 \cdot 10^{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $6 \cdot 10^{2}$ .

$\frac{3 (x \cdot 10^{5})}{3 \cdot 2 \cdot 10^{2}}$

Step 1.2.2

Cancel the common factor.

$\frac{3 (x \cdot 10^{5})}{3 \cdot 2 \cdot 10^{2}}$

Step 1.2.3

Rewrite the expression.

$\frac{x \cdot 10^{5}}{2 \cdot 10^{2}}$

Step 2

Cancel the common factor of $10^{5}$ and $10^{2}$ .

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Step 2.1

Factor $10^{2}$ out of $x \cdot 10^{5}$ .

$\frac{10^{2} (x \cdot 10^{3})}{2 \cdot 10^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $10^{2}$ out of $2 \cdot 10^{2}$ .

$\frac{10^{2} (x \cdot 10^{3})}{10^{2} \cdot 2}$

Step 2.2.2

Cancel the common factor.

$\frac{10^{2} (x \cdot 10^{3})}{10^{2} \cdot 2}$

Step 2.2.3

Rewrite the expression.

$\frac{x \cdot 10^{3}}{2}$

Step 3

Raise $10$ to the power of $3$ .

$\frac{x \cdot 1000}{2}$

Step 4

Cancel the common factor of $1000$ and $2$ .

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Step 4.1

Factor $2$ out of $x \cdot 1000$ .

$\frac{2 (x \cdot 500)}{2}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $2$ .

$\frac{2 (x \cdot 500)}{2 (1)}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (x \cdot 500)}{2 \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{x \cdot 500}{1}$

Step 4.2.4

Divide $x \cdot 500$ by $1$ .

$x \cdot 500$

Step 5

Move $500$ to the left of $x$ .

$500 x$