Solve (1909.62)(6%)(.5)

$$(1909.62)(6 \% )(.5)$$

Evaluate

$$57.2886$$

Solution Steps

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$1909.62\times \frac{3}{50}\times 0.5$$

Convert decimal number 1909.62 to fraction \frac{190962}{100}. Reduce the fraction \frac{190962}{100} to lowest terms by extracting and canceling out 2.

$$\frac{95481}{50}\times \frac{3}{50}\times 0.5$$

Multiply \frac{95481}{50} times \frac{3}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{95481\times 3}{50\times 50}\times 0.5$$

Do the multiplications in the fraction \frac{95481\times 3}{50\times 50}.

$$\frac{286443}{2500}\times 0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{286443}{2500}\times \frac{1}{2}$$

Multiply \frac{286443}{2500} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{286443\times 1}{2500\times 2}$$

Do the multiplications in the fraction \frac{286443\times 1}{2500\times 2}.

$$\frac{286443}{5000}$$

Factor

$$\frac{3 ^ {3} \cdot 103 ^ {2}}{2 ^ {3} \cdot 5 ^ {4}} = 57\frac{1443}{5000} = 57.2886$$