Solve 2.5/70*1.2*10^9

$$\frac{ 2.5 }{ 70 \times 1.2 } \times { 10 }^{ 9 }$$

Evaluate

$$\frac{625000000}{21}\approx 29761904.761904762$$

Solution Steps

Multiply 70 and 1.2 to get 84.

$$\frac{2.5}{84}\times 10^{9}$$

Expand \frac{2.5}{84} by multiplying both numerator and the denominator by 10.

$$\frac{25}{840}\times 10^{9}$$

Reduce the fraction \frac{25}{840} to lowest terms by extracting and canceling out 5.

$$\frac{5}{168}\times 10^{9}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{5}{168}\times 1000000000$$

Express \frac{5}{168}\times 1000000000 as a single fraction.

$$\frac{5\times 1000000000}{168}$$

Multiply 5 and 1000000000 to get 5000000000.

$$\frac{5000000000}{168}$$

Reduce the fraction \frac{5000000000}{168} to lowest terms by extracting and canceling out 8.

$$\frac{625000000}{21}$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {10}}{3 \cdot 7} = 29761904\frac{16}{21} = 29761904.76190476$$