Pre-Algebra Examples

$\frac{3 x}{11} \div \frac{7}{19 x}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3 x}{11} \cdot \frac{19 x}{7}$

Step 2

Multiply $\frac{3 x}{11} \cdot \frac{19 x}{7}$ .

Tap for more steps...

Step 2.1

Multiply $\frac{3 x}{11}$ by $\frac{19 x}{7}$ .

$\frac{3 x (19 x)}{11 \cdot 7}$

Step 2.2

Multiply $19$ by $3$ .

$\frac{57 x \cdot x}{11 \cdot 7}$

Step 2.3

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

$\frac{57 (x^{1} x)}{11 \cdot 7}$

Step 2.4

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

$\frac{57 (x^{1} x^{1})}{11 \cdot 7}$

Step 2.5

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

$\frac{57 x^{1 + 1}}{11 \cdot 7}$

Step 2.6

Add $1$ and $1$ .

$\frac{57 x^{2}}{11 \cdot 7}$

Step 2.7

Multiply $11$ by $7$ .

$\frac{57 x^{2}}{77}$