Solve 13/15div33/5div111/15

$$\frac{ 13 }{ 15 } \div 3 \frac{ 3 }{ 5 } \div 1 \frac{ 11 }{ 15 }$$

Evaluate

$$\frac{5}{36}\approx 0.138888889$$

Solution Steps

Divide \frac{\frac{13}{15}}{\frac{3\times 5+3}{5}} by \frac{1\times 15+11}{15} by multiplying \frac{\frac{13}{15}}{\frac{3\times 5+3}{5}} by the reciprocal of \frac{1\times 15+11}{15}.

$$\frac{\frac{13}{15}\times 15}{\frac{3\times 5+3}{5}\left(1\times 15+11\right)}$$

Cancel out 15 and 15.

$$\frac{13}{\frac{3\times 5+3}{5}\left(1\times 15+11\right)}$$

Multiply 3 and 5 to get 15.

$$\frac{13}{\frac{15+3}{5}\left(1\times 15+11\right)}$$

Add 15 and 3 to get 18.

$$\frac{13}{\frac{18}{5}\left(1\times 15+11\right)}$$

Multiply 1 and 15 to get 15.

$$\frac{13}{\frac{18}{5}\left(15+11\right)}$$

Add 15 and 11 to get 26.

$$\frac{13}{\frac{18}{5}\times 26}$$

Express \frac{18}{5}\times 26 as a single fraction.

$$\frac{13}{\frac{18\times 26}{5}}$$

Multiply 18 and 26 to get 468.

$$\frac{13}{\frac{468}{5}}$$

Divide 13 by \frac{468}{5} by multiplying 13 by the reciprocal of \frac{468}{5}.

$$13\times \frac{5}{468}$$

Express 13\times \frac{5}{468} as a single fraction.

$$\frac{13\times 5}{468}$$

Multiply 13 and 5 to get 65.

$$\frac{65}{468}$$

Reduce the fraction \frac{65}{468} to lowest terms by extracting and canceling out 13.

$$\frac{5}{36}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3 ^ {2}} = 0.1388888888888889$$