Solve 15*{left(1/3right)}^2*left(2div3right)^2

$$15 \times { \left( \frac{ 1 }{ 3 } \right) }^{ 2 } \times { \left(2 \div 3 \right) }^{ 2 }$$

Evaluate

$$\frac{20}{27}\approx 0.740740741$$

Solution Steps

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$15\times \frac{1}{9}\times \left(\frac{2}{3}\right)^{2}$$

Multiply 15 and \frac{1}{9} to get \frac{15}{9}.

$$\frac{15}{9}\times \left(\frac{2}{3}\right)^{2}$$

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

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

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\frac{5}{3}\times \frac{4}{9}$$

Multiply \frac{5}{3} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{3\times 9}$$

Do the multiplications in the fraction \frac{5\times 4}{3\times 9}.

$$\frac{20}{27}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 ^ {3}} = 0.7407407407407407$$