Solve 6/0.32*2/0.084

$$\frac { 6 } { 0.32 } \times \frac { 2 } { 0.084 }$$

Evaluate

$$\frac{3125}{7}\approx 446.428571429$$

Solution Steps

Expand \frac{6}{0.32} by multiplying both numerator and the denominator by 100.

$$\frac{600}{32}\times \frac{2}{0.084}$$

Reduce the fraction \frac{600}{32} to lowest terms by extracting and canceling out 8.

$$\frac{75}{4}\times \frac{2}{0.084}$$

Expand \frac{2}{0.084} by multiplying both numerator and the denominator by 1000.

$$\frac{75}{4}\times \frac{2000}{84}$$

Reduce the fraction \frac{2000}{84} to lowest terms by extracting and canceling out 4.

$$\frac{75}{4}\times \frac{500}{21}$$

Multiply \frac{75}{4} times \frac{500}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{75\times 500}{4\times 21}$$

Do the multiplications in the fraction \frac{75\times 500}{4\times 21}.

$$\frac{37500}{84}$$

Reduce the fraction \frac{37500}{84} to lowest terms by extracting and canceling out 12.

$$\frac{3125}{7}$$

Factor

$$\frac{5 ^ {5}}{7} = 446\frac{3}{7} = 446.42857142857144$$