Solve 3*4/9*(5/9)^2

$$3 \times \frac { 4 } { 9 } \times ( \frac { 5 } { 9 } ) ^ { 2 }$$

Evaluate

$$\frac{100}{243}\approx 0.411522634$$

Solution Steps

Express 3\times \frac{4}{9} as a single fraction.

$$\frac{3\times 4}{9}\times \left(\frac{5}{9}\right)^{2}$$

Multiply 3 and 4 to get 12.

$$\frac{12}{9}\times \left(\frac{5}{9}\right)^{2}$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$\frac{4}{3}\times \left(\frac{5}{9}\right)^{2}$$

Calculate \frac{5}{9} to the power of 2 and get \frac{25}{81}.

$$\frac{4}{3}\times \frac{25}{81}$$

Multiply \frac{4}{3} times \frac{25}{81} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 25}{3\times 81}$$

Do the multiplications in the fraction \frac{4\times 25}{3\times 81}.

$$\frac{100}{243}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 ^ {5}} = 0.411522633744856$$