Solve 5.024*0.018225-(6.25*10^-4)/43.965*[15.21-12.4962]

$$\frac { 5.024 \times 0.018225 - ( 6.25 \times 10 ^ { - 4 } ) } { 43.965 \times [ 15.21 - 12.4962 ] }$$

Evaluate

$$\frac{454687}{596561085}\approx 0.00076218$$

Solution Steps

Multiply 5.024 and 0.018225 to get 0.0915624.

$$\frac{0.0915624-6.25\times 10^{-4}}{43.965\left(15.21-12.4962\right)}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{0.0915624-6.25\times \frac{1}{10000}}{43.965\left(15.21-12.4962\right)}$$

Multiply 6.25 and \frac{1}{10000} to get \frac{1}{1600}.

$$\frac{0.0915624-\frac{1}{1600}}{43.965\left(15.21-12.4962\right)}$$

Subtract \frac{1}{1600} from 0.0915624 to get \frac{454687}{5000000}.

$$\frac{\frac{454687}{5000000}}{43.965\left(15.21-12.4962\right)}$$

Subtract 12.4962 from 15.21 to get 2.7138.

$$\frac{\frac{454687}{5000000}}{43.965\times 2.7138}$$

Multiply 43.965 and 2.7138 to get 119.312217.

$$\frac{\frac{454687}{5000000}}{119.312217}$$

Express \frac{\frac{454687}{5000000}}{119.312217} as a single fraction.

$$\frac{454687}{5000000\times 119.312217}$$

Multiply 5000000 and 119.312217 to get 596561085.

$$\frac{454687}{596561085}$$

Factor

$$\frac{23 \cdot 53 \cdot 373}{5 \cdot 977 \cdot 4523 \cdot 3 ^ {3}} = 0.0007621801210851693$$