Solve 12/9div{3-(5/36+11/9*06)div145}

$$1 \frac { 2 } { 9 } \div \{ 3 - ( \frac { 5 } { 36 } + 1 \frac { 1 } { 9 } \times 06 ) \div 145 \}$$

Evaluate

$$\frac{1276}{3131}\approx 0.407537528$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{\frac{9+2}{9}}{3-\frac{\frac{5}{36}+\frac{1\times 9+1}{9}\times 0\times 6}{145}}$$

Add 9 and 2 to get 11.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{1\times 9+1}{9}\times 0\times 6}{145}}$$

Multiply 1 and 9 to get 9.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{9+1}{9}\times 0\times 6}{145}}$$

Add 9 and 1 to get 10.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{10}{9}\times 0\times 6}{145}}$$

Multiply \frac{10}{9} and 0 to get 0.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+0\times 6}{145}}$$

Multiply 0 and 6 to get 0.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+0}{145}}$$

Add \frac{5}{36} and 0 to get \frac{5}{36}.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}}{145}}$$

Express \frac{\frac{5}{36}}{145} as a single fraction.

$$\frac{\frac{11}{9}}{3-\frac{5}{36\times 145}}$$

Multiply 36 and 145 to get 5220.

$$\frac{\frac{11}{9}}{3-\frac{5}{5220}}$$

Reduce the fraction \frac{5}{5220} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{11}{9}}{3-\frac{1}{1044}}$$

Convert 3 to fraction \frac{3132}{1044}.

$$\frac{\frac{11}{9}}{\frac{3132}{1044}-\frac{1}{1044}}$$

Since \frac{3132}{1044} and \frac{1}{1044} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{11}{9}}{\frac{3132-1}{1044}}$$

Subtract 1 from 3132 to get 3131.

$$\frac{\frac{11}{9}}{\frac{3131}{1044}}$$

Divide \frac{11}{9} by \frac{3131}{1044} by multiplying \frac{11}{9} by the reciprocal of \frac{3131}{1044}.

$$\frac{11}{9}\times \frac{1044}{3131}$$

Multiply \frac{11}{9} times \frac{1044}{3131} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 1044}{9\times 3131}$$

Do the multiplications in the fraction \frac{11\times 1044}{9\times 3131}.

$$\frac{11484}{28179}$$

Reduce the fraction \frac{11484}{28179} to lowest terms by extracting and canceling out 9.

$$\frac{1276}{3131}$$

Factor

$$\frac{2 ^ {2} \cdot 11 \cdot 29}{31 \cdot 101} = 0.407537527946343$$