Solve 10/81/frac{10{9}}

$$\frac { \frac { 10 } { 81 } } { \frac { 10 } { 9 } }$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Divide \frac{10}{81} by \frac{10}{9} by multiplying \frac{10}{81} by the reciprocal of \frac{10}{9}.

$$\frac{10}{81}\times \frac{9}{10}$$

Multiply \frac{10}{81} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 9}{81\times 10}$$

Cancel out 10 in both numerator and denominator.

$$\frac{9}{81}$$

Reduce the fraction \frac{9}{81} to lowest terms by extracting and canceling out 9.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$