Evaluate 6-5 1/6

$6 - 5 \frac{1}{6}$

Step 1

Convert $5 \frac{1}{6}$ to an improper fraction.

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

$6 - (5 + \frac{1}{6})$

Add $5$ and $\frac{1}{6}$ .

To write $5$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$6 - (5 \cdot \frac{6}{6} + \frac{1}{6})$

Combine $5$ and $\frac{6}{6}$ .

$6 - (\frac{5 \cdot 6}{6} + \frac{1}{6})$

Combine the numerators over the common denominator.

$6 - \frac{5 \cdot 6 + 1}{6}$

Simplify the numerator.

Multiply $5$ by $6$ .

$6 - \frac{30 + 1}{6}$

Add $30$ and $1$ .

$6 - \frac{31}{6}$

Step 2

To write $6$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$6 \cdot \frac{6}{6} - \frac{31}{6}$

Step 3

Combine $6$ and $\frac{6}{6}$ .

$\frac{6 \cdot 6}{6} - \frac{31}{6}$

Step 4

Combine the numerators over the common denominator.

$\frac{6 \cdot 6 - 31}{6}$

Step 5

Simplify the numerator.

Multiply $6$ by $6$ .

$\frac{36 - 31}{6}$

Subtract $31$ from $36$ .

$\frac{5}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{6}$

Decimal Form:

$0.8\overline{3}$