Solve 1/3*{left(3/4right)}^2*3

$$\frac{ 1 }{ 3 } \times { \left( \frac{ 3 }{ 4 } \right) }^{ 2 } \times 3$$

Evaluate

$$\frac{9}{16}=0.5625$$

Solution Steps

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

$$\frac{1}{3}\times \frac{9}{16}\times 3$$

Multiply \frac{1}{3} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{3\times 16}\times 3$$

Do the multiplications in the fraction \frac{1\times 9}{3\times 16}.

$$\frac{9}{48}\times 3$$

Reduce the fraction \frac{9}{48} to lowest terms by extracting and canceling out 3.

$$\frac{3}{16}\times 3$$

Express \frac{3}{16}\times 3 as a single fraction.

$$\frac{3\times 3}{16}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{16}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {4}} = 0.5625$$