Simplify (21+5x)/(15x)-21/(15x)

$\frac{21 + 5 x}{15 x} - \frac{21}{15 x}$

Step 1

Combine the numerators over the common denominator.

$\frac{21 + 5 x - 21}{15 x}$

Step 2

Combine the opposite terms in $21 + 5 x - 21$ .

Subtract $21$ from $21$ .

$\frac{5 x + 0}{15 x}$

Add $5 x$ and $0$ .

$\frac{5 x}{15 x}$

Step 3

Cancel the common factor of $5$ and $15$ .

Factor $5$ out of $5 x$ .

$\frac{5 (x)}{15 x}$

Cancel the common factors.

Factor $5$ out of $15 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{x}{3 x}$

Step 4

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x}{3 x}$

Rewrite the expression.

$\frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$