Evaluate 1/(8-1/3)

$\frac{1}{8 - \frac{1}{3}}$

Step 1

Simplify the denominator.

To write $8$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{8 \cdot \frac{3}{3} - \frac{1}{3}}$

Combine $8$ and $\frac{3}{3}$ .

$\frac{1}{\frac{8 \cdot 3}{3} - \frac{1}{3}}$

Combine the numerators over the common denominator.

$\frac{1}{\frac{8 \cdot 3 - 1}{3}}$

Simplify the numerator.

Multiply $8$ by $3$ .

$\frac{1}{\frac{24 - 1}{3}}$

Subtract $1$ from $24$ .

$\frac{1}{\frac{23}{3}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$1 (\frac{3}{23})$

Step 3

Multiply $\frac{3}{23}$ by $1$ .

$\frac{3}{23}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{23}$

Decimal Form:

$0.13043478 \dots$