Basic Math Examples

$(1 + \frac{1}{9}) \cdot (1 + \frac{1}{11})$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

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

$(\frac{9}{9} + \frac{1}{9}) \cdot (1 + \frac{1}{11})$

Step 1.2

Combine the numerators over the common denominator.

$\frac{9 + 1}{9} \cdot (1 + \frac{1}{11})$

Step 1.3

Add $9$ and $1$ .

$\frac{10}{9} \cdot (1 + \frac{1}{11})$

Step 1.4

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

$\frac{10}{9} \cdot (\frac{11}{11} + \frac{1}{11})$

Step 1.5

Combine the numerators over the common denominator.

$\frac{10}{9} \cdot \frac{11 + 1}{11}$

Step 1.6

Add $11$ and $1$ .

$\frac{10}{9} \cdot \frac{12}{11}$

Step 2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1

Factor $3$ out of $9$ .

$\frac{10}{3 (3)} \cdot \frac{12}{11}$

Step 2.2

Factor $3$ out of $12$ .

$\frac{10}{3 \cdot 3} \cdot \frac{3 \cdot 4}{11}$

Step 2.3

Cancel the common factor.

$\frac{10}{3 \cdot 3} \cdot \frac{3 \cdot 4}{11}$

Step 2.4

Rewrite the expression.

$\frac{10}{3} \cdot \frac{4}{11}$

Step 3

Multiply $\frac{10}{3}$ by $\frac{4}{11}$ .

$\frac{10 \cdot 4}{3 \cdot 11}$

Step 4

Multiply.

Tap for more steps...

Step 4.1

Multiply $10$ by $4$ .

$\frac{40}{3 \cdot 11}$

Step 4.2

Multiply $3$ by $11$ .

$\frac{40}{33}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{40}{33}$

Decimal Form:

$1.\overline{21}$

Mixed Number Form:

$1 \frac{7}{33}$