Solve 1.6/1+frac{1{9}}

$$\frac{ 1.6 }{ 1+ \frac{ 1 }{ 9 } }$$

Evaluate

$$1.44$$

Solution Steps

Convert 1 to fraction \frac{9}{9}.

$$\frac{1.6}{\frac{9}{9}+\frac{1}{9}}$$

Since \frac{9}{9} and \frac{1}{9} have the same denominator, add them by adding their numerators.

$$\frac{1.6}{\frac{9+1}{9}}$$

Add 9 and 1 to get 10.

$$\frac{1.6}{\frac{10}{9}}$$

Divide 1.6 by \frac{10}{9} by multiplying 1.6 by the reciprocal of \frac{10}{9}.

$$1.6\times \frac{9}{10}$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{5}\times \frac{9}{10}$$

Multiply \frac{8}{5} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 9}{5\times 10}$$

Do the multiplications in the fraction \frac{8\times 9}{5\times 10}.

$$\frac{72}{50}$$

Reduce the fraction \frac{72}{50} to lowest terms by extracting and canceling out 2.

$$\frac{36}{25}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5 ^ {2}} = 1\frac{11}{25} = 1.44$$