Solve 1/9/1-4div9

$$\frac{ \frac{ 1 }{ 9 } }{ 1-4 \div 9 }$$

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

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

$$\frac{\frac{1}{9}}{\frac{9}{9}-\frac{4}{9}}$$

Since \frac{9}{9} and \frac{4}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1}{9}}{\frac{9-4}{9}}$$

Subtract 4 from 9 to get 5.

$$\frac{\frac{1}{9}}{\frac{5}{9}}$$

Divide \frac{1}{9} by \frac{5}{9} by multiplying \frac{1}{9} by the reciprocal of \frac{5}{9}.

$$\frac{1}{9}\times \frac{9}{5}$$

Multiply \frac{1}{9} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{9\times 5}$$

Cancel out 9 in both numerator and denominator.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$