Solve 0,9/1+frac{1{8}}

$$\frac { 0,9 } { 1 + \frac { 1 } { 8 } }$$

Evaluate

$$0,8$$

Solution Steps

Convert 1 to fraction \frac{8}{8}.

$$\frac{0,9}{\frac{8}{8}+\frac{1}{8}}$$

Since \frac{8}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{0,9}{\frac{8+1}{8}}$$

Add 8 and 1 to get 9.

$$\frac{0,9}{\frac{9}{8}}$$

Divide 0,9 by \frac{9}{8} by multiplying 0,9 by the reciprocal of \frac{9}{8}.

$$0,9\times \frac{8}{9}$$

Convert decimal number 0,9 to fraction \frac{9}{10}.

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

Multiply \frac{9}{10} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 9 in both numerator and denominator.

$$\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$