Solve 3*2/5*30/11

$$3 \cdot \frac { 2 } { 5 } \cdot \frac { 30 } { 11 }$$

Evaluate

$$\frac{36}{11}\approx 3.272727273$$

Solution Steps

Express 3\times \frac{2}{5} as a single fraction.

$$\frac{3\times 2}{5}\times \frac{30}{11}$$

Multiply 3 and 2 to get 6.

$$\frac{6}{5}\times \frac{30}{11}$$

Multiply \frac{6}{5} times \frac{30}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 30}{5\times 11}$$

Do the multiplications in the fraction \frac{6\times 30}{5\times 11}.

$$\frac{180}{55}$$

Reduce the fraction \frac{180}{55} to lowest terms by extracting and canceling out 5.

$$\frac{36}{11}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{11} = 3\frac{3}{11} = 3.272727272727273$$