Solve 10375*110/9*6/11div2

$$10375 \times \frac{ 110 }{ 9 } \times \frac{ 6 }{ 11 } \div 2$$

Evaluate

$$\frac{103750}{3}\approx 34583.333333333$$

Solution Steps

Express 10375\times \frac{110}{9} as a single fraction.

$$\frac{\frac{10375\times 110}{9}\times \frac{6}{11}}{2}$$

Multiply 10375 and 110 to get 1141250.

$$\frac{\frac{1141250}{9}\times \frac{6}{11}}{2}$$

Multiply \frac{1141250}{9} times \frac{6}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1141250\times 6}{9\times 11}}{2}$$

Do the multiplications in the fraction \frac{1141250\times 6}{9\times 11}.

$$\frac{\frac{6847500}{99}}{2}$$

Reduce the fraction \frac{6847500}{99} to lowest terms by extracting and canceling out 33.

$$\frac{\frac{207500}{3}}{2}$$

Express \frac{\frac{207500}{3}}{2} as a single fraction.

$$\frac{207500}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{207500}{6}$$

Reduce the fraction \frac{207500}{6} to lowest terms by extracting and canceling out 2.

$$\frac{103750}{3}$$

Factor

$$\frac{2 \cdot 5 ^ {4} \cdot 83}{3} = 34583\frac{1}{3} = 34583.333333333336$$