Solve 10.375*122/9div2*6/11

$$10.375 \cdot 12 \frac{ 2 }{ 9 } \div 2 \times \frac{ 6 }{ 11 }$$

Evaluate

$$\frac{415}{12}\approx 34.583333333$$

Solution Steps

Multiply 12 and 9 to get 108.

$$\frac{10.375\times \frac{108+2}{9}}{2}\times \frac{6}{11}$$

Add 108 and 2 to get 110.

$$\frac{10.375\times \frac{110}{9}}{2}\times \frac{6}{11}$$

Convert decimal number 10.375 to fraction \frac{10375}{1000}. Reduce the fraction \frac{10375}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{\frac{83}{8}\times \frac{110}{9}}{2}\times \frac{6}{11}$$

Multiply \frac{83}{8} times \frac{110}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{83\times 110}{8\times 9}}{2}\times \frac{6}{11}$$

Do the multiplications in the fraction \frac{83\times 110}{8\times 9}.

$$\frac{\frac{9130}{72}}{2}\times \frac{6}{11}$$

Reduce the fraction \frac{9130}{72} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{4565}{36}}{2}\times \frac{6}{11}$$

Express \frac{\frac{4565}{36}}{2} as a single fraction.

$$\frac{4565}{36\times 2}\times \frac{6}{11}$$

Multiply 36 and 2 to get 72.

$$\frac{4565}{72}\times \frac{6}{11}$$

Multiply \frac{4565}{72} times \frac{6}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4565\times 6}{72\times 11}$$

Do the multiplications in the fraction \frac{4565\times 6}{72\times 11}.

$$\frac{27390}{792}$$

Reduce the fraction \frac{27390}{792} to lowest terms by extracting and canceling out 66.

$$\frac{415}{12}$$

Factor

$$\frac{5 \cdot 83}{3 \cdot 2 ^ {2}} = 34\frac{7}{12} = 34.583333333333336$$