Algebra Examples

$\frac{4 x + 1}{6 x} \div \frac{x}{3 x - 1}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4 x + 1}{6 x} \cdot \frac{3 x - 1}{x}$

Step 2

Multiply $\frac{4 x + 1}{6 x} \cdot \frac{3 x - 1}{x}$ .

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Step 2.1

Multiply $\frac{4 x + 1}{6 x}$ by $\frac{3 x - 1}{x}$ .

$\frac{(4 x + 1) (3 x - 1)}{6 x \cdot x}$

Step 2.2

Raise $x$ to the power of $1$ .

$\frac{(4 x + 1) (3 x - 1)}{6 (x^{1} x)}$

Step 2.3

Raise $x$ to the power of $1$ .

$\frac{(4 x + 1) (3 x - 1)}{6 (x^{1} x^{1})}$

Step 2.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{(4 x + 1) (3 x - 1)}{6 x^{1 + 1}}$

Step 2.5

Add $1$ and $1$ .

$\frac{(4 x + 1) (3 x - 1)}{6 x^{2}}$