Pre-Algebra Examples

$1 \frac{1}{9} \div (- 9)$

Step 1

Convert $1 \frac{1}{9}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

$(1 + \frac{1}{9}) \div (- 9)$

Step 1.2

Add $1$ and $\frac{1}{9}$ .

Tap for more steps...

Step 1.2.1

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

$(\frac{9}{9} + \frac{1}{9}) \div (- 9)$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{9 + 1}{9} \div (- 9)$

Step 1.2.3

Add $9$ and $1$ .

$\frac{10}{9} \div (- 9)$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{10}{9}}{- 9}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{10}{9} \cdot \frac{1}{- 9}$

Step 4

Move the negative in front of the fraction.

$\frac{10}{9} (- \frac{1}{9})$

Step 5

Multiply $\frac{10}{9} (- \frac{1}{9})$ .

Tap for more steps...

Step 5.1

Multiply $\frac{10}{9}$ by $\frac{1}{9}$ .

$- \frac{10}{9 \cdot 9}$

Step 5.2

Multiply $9$ by $9$ .

$- \frac{10}{81}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{10}{81}$

Decimal Form:

$- 0.12345679 \dots$