Solve 1/2*37.5*21.8

$$1 / 2 \times 37.5 \times 21.8$$

Evaluate

$$408.75$$

Solution Steps

Convert decimal number 37.5 to fraction \frac{375}{10}. Reduce the fraction \frac{375}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{75}{2}\times 21.8$$

Multiply \frac{1}{2} times \frac{75}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 75}{2\times 2}\times 21.8$$

Do the multiplications in the fraction \frac{1\times 75}{2\times 2}.

$$\frac{75}{4}\times 21.8$$

Convert decimal number 21.8 to fraction \frac{218}{10}. Reduce the fraction \frac{218}{10} to lowest terms by extracting and canceling out 2.

$$\frac{75}{4}\times \frac{109}{5}$$

Multiply \frac{75}{4} times \frac{109}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{75\times 109}{4\times 5}$$

Do the multiplications in the fraction \frac{75\times 109}{4\times 5}.

$$\frac{8175}{20}$$

Reduce the fraction \frac{8175}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1635}{4}$$

Factor

$$\frac{3 \cdot 5 \cdot 109}{2 ^ {2}} = 408\frac{3}{4} = 408.75$$