Solve 1/3*337.5sqrt{3}

$$\frac{ 1 }{ 3 } \times 337.5 \sqrt{ 3 }$$

Evaluate

$$\frac{225\sqrt{3}}{2}\approx 194.855715851$$

Solution Steps

Convert decimal number 337.5 to fraction \frac{3375}{10}. Reduce the fraction \frac{3375}{10} to lowest terms by extracting and canceling out 5.

$$\frac{675}{2}\times \frac{1}{3}\sqrt{3}$$

Multiply \frac{675}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{675\times 1}{2\times 3}\sqrt{3}$$

Do the multiplications in the fraction \frac{675\times 1}{2\times 3}.

$$\frac{675}{6}\sqrt{3}$$

Reduce the fraction \frac{675}{6} to lowest terms by extracting and canceling out 3.

$$\frac{225}{2}\sqrt{3}$$