Solve 2*57*75/11frac{7{12}}

$$\frac{ 2 \cdot 57 \cdot 75 }{ 11 \frac{ 7 }{ 12 } }$$

Evaluate

$$\frac{102600}{139}\approx 738.129496403$$

Solution Steps

Multiply 2 and 57 to get 114.

$$\frac{114\times 75}{\frac{11\times 12+7}{12}}$$

Multiply 114 and 75 to get 8550.

$$\frac{8550}{\frac{11\times 12+7}{12}}$$

Multiply 11 and 12 to get 132.

$$\frac{8550}{\frac{132+7}{12}}$$

Add 132 and 7 to get 139.

$$\frac{8550}{\frac{139}{12}}$$

Divide 8550 by \frac{139}{12} by multiplying 8550 by the reciprocal of \frac{139}{12}.

$$8550\times \frac{12}{139}$$

Express 8550\times \frac{12}{139} as a single fraction.

$$\frac{8550\times 12}{139}$$

Multiply 8550 and 12 to get 102600.

$$\frac{102600}{139}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {3} \cdot 5 ^ {2} \cdot 19}{139} = 738\frac{18}{139} = 738.1294964028777$$