Solve for a9 a_9=1+1/9

$a_{9} = 1 + \frac{1}{9}$

Write $1$ as a fraction with a common denominator.

$a_{9} = \frac{9}{9} + \frac{1}{9}$

Combine the numerators over the common denominator.

$a_{9} = \frac{9 + 1}{9}$

Add $9$ and $1$ .

$a_{9} = \frac{10}{9}$

The result can be shown in multiple forms.

Exact Form:

$a_{9} = \frac{10}{9}$

Decimal Form:

$a_{9} = 1.\overline{1}$

Mixed Number Form:

$a_{9} = 1 \frac{1}{9}$