Evaluate 0.9/(1+1/8)

$\frac{0.9}{1 + \frac{1}{8}}$

Step 1

Simplify the denominator.

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

$\frac{0.9}{\frac{8}{8} + \frac{1}{8}}$

Combine the numerators over the common denominator.

$\frac{0.9}{\frac{8 + 1}{8}}$

Add $8$ and $1$ .

$\frac{0.9}{\frac{9}{8}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$0.9 (\frac{8}{9})$

Step 3

Cancel the common factor of $0.9$ .

Factor $0.9$ out of $9$ .

$0.9 \frac{8}{0.9 (10)}$

Cancel the common factor.

$0.9 \frac{8}{0.9 \cdot 10}$

Rewrite the expression.

$\frac{8}{10}$

Step 4

Cancel the common factor of $8$ and $10$ .

Factor $2$ out of $8$ .

$\frac{2 (4)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$\frac{2 \cdot 4}{2 \cdot 5}$

Cancel the common factor.

$\frac{2 \cdot 4}{2 \cdot 5}$

Rewrite the expression.

$\frac{4}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$