Pre-Algebra Examples

$\frac{12 x}{10 b} \div \frac{3 x}{5 b x}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{12 x}{10 b} \cdot \frac{5 b x}{3 x}$

Step 2

Cancel the common factor of $3 x$ .

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Step 2.1

Factor $3 x$ out of $12 x$ .

$\frac{3 x (4)}{10 b} \cdot \frac{5 b x}{3 x}$

Step 2.2

Cancel the common factor.

$\frac{3 x \cdot 4}{10 b} \cdot \frac{5 b x}{3 x}$

Step 2.3

Rewrite the expression.

$\frac{4}{10 b} (5 b x)$

Step 3

Cancel the common factor of $5 b$ .

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Step 3.1

Factor $5 b$ out of $10 b$ .

$\frac{4}{5 b (2)} (5 b x)$

Step 3.2

Factor $5 b$ out of $5 b x$ .

$\frac{4}{5 b (2)} (5 b (x))$

Step 3.3

Cancel the common factor.

$\frac{4}{5 b \cdot 2} (5 b x)$

Step 3.4

Rewrite the expression.

$\frac{4}{2} x$

Step 4

Combine $\frac{4}{2}$ and $x$ .

$\frac{4 x}{2}$

Step 5

Cancel the common factor of $4$ and $2$ .

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Step 5.1

Factor $2$ out of $4 x$ .

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $2$ .

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{2 x}{1}$

Step 5.2.4

Divide $2 x$ by $1$ .

$2 x$