Algebra Examples

$\frac{3}{7 x} - \frac{9}{x}$

Step 1

To write $- \frac{9}{x}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{3}{7 x} - \frac{9}{x} \cdot \frac{7}{7}$

Step 2

Write each expression with a common denominator of $7 x$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.1

Multiply $\frac{9}{x}$ by $\frac{7}{7}$ .

$\frac{3}{7 x} - \frac{9 \cdot 7}{x \cdot 7}$

Step 2.2

Reorder the factors of $x \cdot 7$ .

$\frac{3}{7 x} - \frac{9 \cdot 7}{7 x}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 - 9 \cdot 7}{7 x}$

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Multiply $- 9$ by $7$ .

$\frac{3 - 63}{7 x}$

Step 4.2

Subtract $63$ from $3$ .

$\frac{- 60}{7 x}$

Step 5

Move the negative in front of the fraction.

$- \frac{60}{7 x}$