Algebra Examples

$\frac{6 x}{7} \div \frac{2}{5 x}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{6 x}{7} \cdot \frac{5 x}{2}$

Step 2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $6 x$ .

$\frac{2 (3 x)}{7} \cdot \frac{5 x}{2}$

Step 2.2

Cancel the common factor.

$\frac{2 (3 x)}{7} \cdot \frac{5 x}{2}$

Step 2.3

Rewrite the expression.

$\frac{3 x}{7} (5 x)$

Step 3

Combine $5$ and $\frac{3 x}{7}$ .

$\frac{5 (3 x)}{7} x$

Step 4

Multiply $3$ by $5$ .

$\frac{15 x}{7} x$

Step 5

Combine $\frac{15 x}{7}$ and $x$ .

$\frac{15 x \cdot x}{7}$

Step 6

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

$\frac{15 (x^{1} x)}{7}$

Step 7

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

$\frac{15 (x^{1} x^{1})}{7}$

Step 8

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

$\frac{15 x^{1 + 1}}{7}$

Step 9

Add $1$ and $1$ .

$\frac{15 x^{2}}{7}$