Solve 12/66*8/27*54/5

$$\frac { 12 } { 66 } \cdot \frac { 8 } { 27 } \cdot \frac { 54 } { 5 }$$

Evaluate

$$\frac{32}{55}\approx 0.581818182$$

Solution Steps

Reduce the fraction \frac{12}{66} to lowest terms by extracting and canceling out 6.

$$\frac{2}{11}\times \frac{8}{27}\times \frac{54}{5}$$

Multiply \frac{2}{11} times \frac{8}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 8}{11\times 27}\times \frac{54}{5}$$

Do the multiplications in the fraction \frac{2\times 8}{11\times 27}.

$$\frac{16}{297}\times \frac{54}{5}$$

Multiply \frac{16}{297} times \frac{54}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 54}{297\times 5}$$

Do the multiplications in the fraction \frac{16\times 54}{297\times 5}.

$$\frac{864}{1485}$$

Reduce the fraction \frac{864}{1485} to lowest terms by extracting and canceling out 27.

$$\frac{32}{55}$$

Factor

$$\frac{2 ^ {5}}{5 \cdot 11} = 0.5818181818181818$$