Solve 0.2/7800*1000*100

$$\frac{ 0.2 }{ 7800 } \times 1000 \times 100$$

Evaluate

$$\frac{100}{39}\approx 2.564102564$$

Solution Steps

Expand \frac{0.2}{7800} by multiplying both numerator and the denominator by 10.

$$\frac{2}{78000}\times 1000\times 100$$

Reduce the fraction \frac{2}{78000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{39000}\times 1000\times 100$$

Multiply \frac{1}{39000} and 1000 to get \frac{1000}{39000}.

$$\frac{1000}{39000}\times 100$$

Reduce the fraction \frac{1000}{39000} to lowest terms by extracting and canceling out 1000.

$$\frac{1}{39}\times 100$$

Multiply \frac{1}{39} and 100 to get \frac{100}{39}.

$$\frac{100}{39}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 \cdot 13} = 2\frac{22}{39} = 2.5641025641025643$$