Solve 10.395*122/9*1/2*6/11

$$10.395 \times 12 \frac { 2 } { 9 } \times \frac { 1 } { 2 } \times \frac { 6 } { 11 }$$

Evaluate

$$34.65$$

Solution Steps

Multiply 12 and 9 to get 108.

$$10.395\times \frac{108+2}{9}\times \frac{1}{2}\times \frac{6}{11}$$

Add 108 and 2 to get 110.

$$10.395\times \frac{110}{9}\times \frac{1}{2}\times \frac{6}{11}$$

Convert decimal number 10.395 to fraction \frac{10395}{1000}. Reduce the fraction \frac{10395}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{2079}{200}\times \frac{110}{9}\times \frac{1}{2}\times \frac{6}{11}$$

Multiply \frac{2079}{200} times \frac{110}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2079\times 110}{200\times 9}\times \frac{1}{2}\times \frac{6}{11}$$

Do the multiplications in the fraction \frac{2079\times 110}{200\times 9}.

$$\frac{228690}{1800}\times \frac{1}{2}\times \frac{6}{11}$$

Reduce the fraction \frac{228690}{1800} to lowest terms by extracting and canceling out 90.

$$\frac{2541}{20}\times \frac{1}{2}\times \frac{6}{11}$$

Multiply \frac{2541}{20} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2541\times 1}{20\times 2}\times \frac{6}{11}$$

Do the multiplications in the fraction \frac{2541\times 1}{20\times 2}.

$$\frac{2541}{40}\times \frac{6}{11}$$

Multiply \frac{2541}{40} times \frac{6}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2541\times 6}{40\times 11}$$

Do the multiplications in the fraction \frac{2541\times 6}{40\times 11}.

$$\frac{15246}{440}$$

Reduce the fraction \frac{15246}{440} to lowest terms by extracting and canceling out 22.

$$\frac{693}{20}$$

Factor

$$\frac{7 \cdot 11 \cdot 3 ^ {2}}{5 \cdot 2 ^ {2}} = 34\frac{13}{20} = 34.65$$