Simplify (x+5)/9-(x+2)/9

$\frac{x + 5}{9} - \frac{x + 2}{9}$

Step 1

Combine the numerators over the common denominator.

$\frac{x + 5 - (x + 2)}{9}$

Step 2

Simplify each term.

Apply the distributive property.

$\frac{x + 5 - x - 1 \cdot 2}{9}$

Multiply $- 1$ by $2$ .

$\frac{x + 5 - x - 2}{9}$

$\frac{x + 5 - x - 2}{9}$

Step 3

Simplify terms.

Combine the opposite terms in $x + 5 - x - 2$ .

Subtract $x$ from $x$ .

$\frac{0 + 5 - 2}{9}$

Add $0$ and $5$ .

$\frac{5 - 2}{9}$

$\frac{5 - 2}{9}$

Subtract $2$ from $5$ .

$\frac{3}{9}$

Cancel the common factor of $3$ and $9$ .

Factor $3$ out of $3$ .

$\frac{3 (1)}{9}$

Cancel the common factors.

Factor $3$ out of $9$ .

$\frac{3 \cdot 1}{3 \cdot 3}$

Cancel the common factor.

$\frac{3 \cdot 1}{3 \cdot 3}$

Rewrite the expression.

$\frac{1}{3}$

$\frac{1}{3}$

$\frac{1}{3}$

$\frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$

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