Evaluate (1/16-1)/(32-0)

$\frac{\frac{1}{16} - 1}{32 - 0}$

Step 1

Multiply the numerator and denominator of the fraction by $16$ .

Multiply $\frac{\frac{1}{16} - 1}{32 - 0}$ by $\frac{16}{16}$ .

$\frac{16}{16} \cdot \frac{\frac{1}{16} - 1}{32 - 0}$

Combine.

$\frac{16 (\frac{1}{16} - 1)}{16 (32 - 0)}$

Step 2

Apply the distributive property.

$\frac{16 (\frac{1}{16}) + 16 \cdot - 1}{16 \cdot 32 + 16 (- 0)}$

Step 3

Cancel the common factor of $16$ .

Cancel the common factor.

$\frac{16 (\frac{1}{16}) + 16 \cdot - 1}{16 \cdot 32 + 16 (- 0)}$

Rewrite the expression.

$\frac{1 + 16 \cdot - 1}{16 \cdot 32 + 16 (- 0)}$

Step 4

Simplify the numerator.

Multiply $16$ by $- 1$ .

$\frac{1 - 16}{16 \cdot 32 + 16 (- 0)}$

Subtract $16$ from $1$ .

$\frac{- 15}{16 \cdot 32 + 16 (- 0)}$

Step 5

Simplify the denominator.

Multiply $16$ by $32$ .

$\frac{- 15}{512 + 16 (- 0)}$

Multiply $16 (- 0)$ .

Multiply $- 1$ by $0$ .

$\frac{- 15}{512 + 16 \cdot 0}$

Multiply $16$ by $0$ .

$\frac{- 15}{512 + 0}$

Add $512$ and $0$ .

$\frac{- 15}{512}$

Step 6

Move the negative in front of the fraction.

$- \frac{15}{512}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{15}{512}$

Decimal Form:

$- 0.02929687 \dots$