Simplify 8-1 1/9

$8 - 1 \frac{1}{9}$

Step 1

Convert

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

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

$8 - (1 + \frac{1}{9})$

Add

$1$ and

$\frac{1}{9}$ .

Write

$1$ as a fraction with a common denominator.

$8 - (\frac{9}{9} + \frac{1}{9})$

Combine the numerators over the common denominator.

$8 - \frac{9 + 1}{9}$

Add

$9$ and

$1$ .

$8 - \frac{10}{9}$

Step 2

To write

$8$ as a fraction with a common denominator, multiply by

$\frac{9}{9}$ .

$8 \cdot \frac{9}{9} - \frac{10}{9}$

Step 3

Combine

$8$ and

$\frac{9}{9}$ .

$\frac{8 \cdot 9}{9} - \frac{10}{9}$

Step 4

Combine the numerators over the common denominator.

$\frac{8 \cdot 9 - 10}{9}$

Step 5

Simplify the numerator.

Multiply

$8$ by

$9$ .

$\frac{72 - 10}{9}$

Subtract

$10$ from

$72$ .

$\frac{62}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{62}{9}$

Decimal Form:

$6.\overline{8}$

Mixed Number Form:

$6 \frac{8}{9}$

Simplify 8-1 1/9

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