Solve (3/2)^2*314*1/3

$$( \frac { 3 } { 2 } ) ^ { 2 } \times 314 \times \frac { 1 } { 3 }$$

Evaluate

$$\frac{471}{2}=235.5$$

Solution Steps

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

$$\frac{9}{4}\times 314\times \frac{1}{3}$$

Express \frac{9}{4}\times 314 as a single fraction.

$$\frac{9\times 314}{4}\times \frac{1}{3}$$

Multiply 9 and 314 to get 2826.

$$\frac{2826}{4}\times \frac{1}{3}$$

Reduce the fraction \frac{2826}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1413}{2}\times \frac{1}{3}$$

Multiply \frac{1413}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1413\times 1}{2\times 3}$$

Do the multiplications in the fraction \frac{1413\times 1}{2\times 3}.

$$\frac{1413}{6}$$

Reduce the fraction \frac{1413}{6} to lowest terms by extracting and canceling out 3.

$$\frac{471}{2}$$

Factor

$$\frac{3 \cdot 157}{2} = 235\frac{1}{2} = 235.5$$