Solve 112/3/9frac{3{8}53/5}

$$\frac{ 11 \frac{ 2 }{ 3 } }{ 9 \frac{ 3 }{ 8 } 5 \frac{ 3 }{ 5 } }$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Multiply 11 and 3 to get 33.

$$\frac{\frac{33+2}{3}}{\frac{9\times 8+3}{8}\times \frac{5\times 5+3}{5}}$$

Add 33 and 2 to get 35.

$$\frac{\frac{35}{3}}{\frac{9\times 8+3}{8}\times \frac{5\times 5+3}{5}}$$

Multiply 9 and 8 to get 72.

$$\frac{\frac{35}{3}}{\frac{72+3}{8}\times \frac{5\times 5+3}{5}}$$

Add 72 and 3 to get 75.

$$\frac{\frac{35}{3}}{\frac{75}{8}\times \frac{5\times 5+3}{5}}$$

Multiply 5 and 5 to get 25.

$$\frac{\frac{35}{3}}{\frac{75}{8}\times \frac{25+3}{5}}$$

Add 25 and 3 to get 28.

$$\frac{\frac{35}{3}}{\frac{75}{8}\times \frac{28}{5}}$$

Multiply \frac{75}{8} times \frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{35}{3}}{\frac{75\times 28}{8\times 5}}$$

Do the multiplications in the fraction \frac{75\times 28}{8\times 5}.

$$\frac{\frac{35}{3}}{\frac{2100}{40}}$$

Reduce the fraction \frac{2100}{40} to lowest terms by extracting and canceling out 20.

$$\frac{\frac{35}{3}}{\frac{105}{2}}$$

Divide \frac{35}{3} by \frac{105}{2} by multiplying \frac{35}{3} by the reciprocal of \frac{105}{2}.

$$\frac{35}{3}\times \frac{2}{105}$$

Multiply \frac{35}{3} times \frac{2}{105} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 2}{3\times 105}$$

Do the multiplications in the fraction \frac{35\times 2}{3\times 105}.

$$\frac{70}{315}$$

Reduce the fraction \frac{70}{315} to lowest terms by extracting and canceling out 35.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$