Solve 0.7893*24*72.75*10^-3/0.9982*57

$$\frac{ 0.7893 \times 24 \times 72.75 \times { 10 }^{ -3 } }{ 0.9982 \times 57 }$$

Evaluate

$$\frac{2296863}{94829000}\approx 0.024221103$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{0.7893\times 8\times 72.75\times 10^{-3}}{0.9982\times 19}$$

Multiply 0.7893 and 8 to get 6.3144.

$$\frac{6.3144\times 72.75\times 10^{-3}}{0.9982\times 19}$$

Multiply 6.3144 and 72.75 to get 459.3726.

$$\frac{459.3726\times 10^{-3}}{0.9982\times 19}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{459.3726\times \frac{1}{1000}}{0.9982\times 19}$$

Multiply 459.3726 and \frac{1}{1000} to get \frac{2296863}{5000000}.

$$\frac{\frac{2296863}{5000000}}{0.9982\times 19}$$

Multiply 0.9982 and 19 to get 18.9658.

$$\frac{\frac{2296863}{5000000}}{18.9658}$$

Express \frac{\frac{2296863}{5000000}}{18.9658} as a single fraction.

$$\frac{2296863}{5000000\times 18.9658}$$

Multiply 5000000 and 18.9658 to get 94829000.

$$\frac{2296863}{94829000}$$

Factor

$$\frac{97 \cdot 877 \cdot 3 ^ {3}}{7 \cdot 19 \cdot 23 \cdot 31 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 0.024221103249006105$$