Solve 200/3.000*15.000/2.800

$$\frac{ 200 }{ 3.000 } \times \frac{ 15.000 }{ 2.800 }$$

Evaluate

$$\frac{2500}{7}\approx 357.142857143$$

Solution Steps

Expand \frac{15}{2.8} by multiplying both numerator and the denominator by 10.

$$\frac{200}{3}\times \frac{150}{28}$$

Reduce the fraction \frac{150}{28} to lowest terms by extracting and canceling out 2.

$$\frac{200}{3}\times \frac{75}{14}$$

Multiply \frac{200}{3} times \frac{75}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{200\times 75}{3\times 14}$$

Do the multiplications in the fraction \frac{200\times 75}{3\times 14}.

$$\frac{15000}{42}$$

Reduce the fraction \frac{15000}{42} to lowest terms by extracting and canceling out 6.

$$\frac{2500}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {4}}{7} = 357\frac{1}{7} = 357.14285714285717$$