Solve {left(2/5right)}^2*3div5*3

$${ \left( \frac{ 2 }{ 5 } \right) }^{ 2 } \times 3 \div 5 \times 3$$

Evaluate

$$\frac{36}{125}=0.288$$

Solution Steps

Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$\frac{\frac{4}{25}\times 3}{5}\times 3$$

Express \frac{4}{25}\times 3 as a single fraction.

$$\frac{\frac{4\times 3}{25}}{5}\times 3$$

Multiply 4 and 3 to get 12.

$$\frac{\frac{12}{25}}{5}\times 3$$

Express \frac{\frac{12}{25}}{5} as a single fraction.

$$\frac{12}{25\times 5}\times 3$$

Multiply 25 and 5 to get 125.

$$\frac{12}{125}\times 3$$

Express \frac{12}{125}\times 3 as a single fraction.

$$\frac{12\times 3}{125}$$

Multiply 12 and 3 to get 36.

$$\frac{36}{125}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5 ^ {3}} = 0.288$$