Solve 8/27*(3/4)^2

$$\frac { 8 } { 27 } \times ( \frac { 3 } { 4 } ) ^ { 2 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Calculate \frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$\frac{8}{27}\times \frac{9}{16}$$

Multiply \frac{8}{27} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 9}{27\times 16}$$

Do the multiplications in the fraction \frac{8\times 9}{27\times 16}.

$$\frac{72}{432}$$

Reduce the fraction \frac{72}{432} to lowest terms by extracting and canceling out 72.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$