Solve (4.5*10^15):(5*10^8)/0.0025-0.00012

$$\frac { ( 4.5 \cdot 10 ^ { 15 } ) : ( 5 \cdot 10 ^ { 8 } ) } { 0.0025 - 0.00012 }$$

Evaluate

$$\frac{450000000000}{119}\approx 3781512605.042016807$$

Solution Steps

Cancel out 10^{8} in both numerator and denominator.

$$\frac{\frac{4.5\times 10^{7}}{5}}{0.0025-0.00012}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{\frac{4.5\times 10000000}{5}}{0.0025-0.00012}$$

Multiply 4.5 and 10000000 to get 45000000.

$$\frac{\frac{45000000}{5}}{0.0025-0.00012}$$

Divide 45000000 by 5 to get 9000000.

$$\frac{9000000}{0.0025-0.00012}$$

Subtract 0.00012 from 0.0025 to get 0.00238.

$$\frac{9000000}{0.00238}$$

Expand \frac{9000000}{0.00238} by multiplying both numerator and the denominator by 100000.

$$\frac{900000000000}{238}$$

Reduce the fraction \frac{900000000000}{238} to lowest terms by extracting and canceling out 2.

$$\frac{450000000000}{119}$$

Factor

$$\frac{2 ^ {10} \cdot 3 ^ {2} \cdot 5 ^ {11}}{7 \cdot 17} = 3781512605\frac{5}{119} = 3781512605.042017$$