Solve 102/10*64/3*4/11=

$$10 \frac{ 2 }{ 10 } \times 6 \frac{ 4 }{ 3 } \times \frac{ 4 }{ 11 } =$$

Evaluate

$$\frac{136}{5}=27.2$$

Solution Steps

Multiply 10 and 10 to get 100.

$$\frac{100+2}{10}\times \frac{6\times 3+4}{3}\times \frac{4}{11}$$

Add 100 and 2 to get 102.

$$\frac{102}{10}\times \frac{6\times 3+4}{3}\times \frac{4}{11}$$

Reduce the fraction \frac{102}{10} to lowest terms by extracting and canceling out 2.

$$\frac{51}{5}\times \frac{6\times 3+4}{3}\times \frac{4}{11}$$

Multiply 6 and 3 to get 18.

$$\frac{51}{5}\times \frac{18+4}{3}\times \frac{4}{11}$$

Add 18 and 4 to get 22.

$$\frac{51}{5}\times \frac{22}{3}\times \frac{4}{11}$$

Multiply \frac{51}{5} times \frac{22}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{51\times 22}{5\times 3}\times \frac{4}{11}$$

Do the multiplications in the fraction \frac{51\times 22}{5\times 3}.

$$\frac{1122}{15}\times \frac{4}{11}$$

Reduce the fraction \frac{1122}{15} to lowest terms by extracting and canceling out 3.

$$\frac{374}{5}\times \frac{4}{11}$$

Multiply \frac{374}{5} times \frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{374\times 4}{5\times 11}$$

Do the multiplications in the fraction \frac{374\times 4}{5\times 11}.

$$\frac{1496}{55}$$

Reduce the fraction \frac{1496}{55} to lowest terms by extracting and canceling out 11.

$$\frac{136}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 17}{5} = 27\frac{1}{5} = 27.2$$