Solve 5/12/(6-frac{7{18}-11/18)}

$$\frac{ \frac{ 5 }{ 12 } }{ (6- \frac{ 7 }{ 18 } - \frac{ 11 }{ 18 } ) }$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Convert 6 to fraction \frac{108}{18}.

$$\frac{\frac{5}{12}}{\frac{108}{18}-\frac{7}{18}-\frac{11}{18}}$$

Since \frac{108}{18} and \frac{7}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5}{12}}{\frac{108-7}{18}-\frac{11}{18}}$$

Subtract 7 from 108 to get 101.

$$\frac{\frac{5}{12}}{\frac{101}{18}-\frac{11}{18}}$$

Since \frac{101}{18} and \frac{11}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5}{12}}{\frac{101-11}{18}}$$

Subtract 11 from 101 to get 90.

$$\frac{\frac{5}{12}}{\frac{90}{18}}$$

Divide 90 by 18 to get 5.

$$\frac{\frac{5}{12}}{5}$$

Express \frac{\frac{5}{12}}{5} as a single fraction.

$$\frac{5}{12\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$