Solve for a3 a_3=(2(3))/(3+6)

$a_{3} = \frac{2 (3)}{3 + 6}$

Step 1

Cancel the common factor of $3$ and $3 + 6$ .

Factor $3$ out of $2 (3)$ .

$a_{3} = \frac{3 \cdot 2}{3 + 6}$

Cancel the common factors.

Factor $3$ out of $3$ .

$a_{3} = \frac{3 \cdot 2}{3 (1) + 6}$

Factor $3$ out of $6$ .

$a_{3} = \frac{3 \cdot 2}{3 \cdot 1 + 3 \cdot 2}$

Factor $3$ out of $3 \cdot 1 + 3 \cdot 2$ .

$a_{3} = \frac{3 \cdot 2}{3 \cdot (1 + 2)}$

Cancel the common factor.

$a_{3} = \frac{3 \cdot 2}{3 \cdot (1 + 2)}$

Rewrite the expression.

$a_{3} = \frac{2}{1 + 2}$

$a_{3} = \frac{2}{1 + 2}$

$a_{3} = \frac{2}{1 + 2}$

Step 2

Add $1$ and $2$ .

$a_{3} = \frac{2}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a_{3} = \frac{2}{3}$

Decimal Form:

$a_{3} = 0.\overline{6}$

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