Solve 2*14/4*9648*40*1/0.21*28.85*10^-3

$$2 \times \frac{ 14 }{ 4 \times 9648 } \times 40 \times \frac{ 1 }{ 0.21 } \times 28.85 \times { 10 }^{ -3 }$$

Evaluate

$$\frac{577}{144720}\approx 0.003987009$$

Solution Steps

Multiply 4 and 9648 to get 38592.

$$2\times \frac{14}{38592}\times 40\times \frac{1}{0.21}\times 28.85\times 10^{-3}$$

Reduce the fraction \frac{14}{38592} to lowest terms by extracting and canceling out 2.

$$2\times \frac{7}{19296}\times 40\times \frac{1}{0.21}\times 28.85\times 10^{-3}$$

Multiply 2 and \frac{7}{19296} to get \frac{7}{9648}.

$$\frac{7}{9648}\times 40\times \frac{1}{0.21}\times 28.85\times 10^{-3}$$

Multiply \frac{7}{9648} and 40 to get \frac{35}{1206}.

$$\frac{35}{1206}\times \frac{1}{0.21}\times 28.85\times 10^{-3}$$

Expand \frac{1}{0.21} by multiplying both numerator and the denominator by 100.

$$\frac{35}{1206}\times \frac{100}{21}\times 28.85\times 10^{-3}$$

Multiply \frac{35}{1206} and \frac{100}{21} to get \frac{250}{1809}.

$$\frac{250}{1809}\times 28.85\times 10^{-3}$$

Multiply \frac{250}{1809} and 28.85 to get \frac{14425}{3618}.

$$\frac{14425}{3618}\times 10^{-3}$$

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

$$\frac{14425}{3618}\times \frac{1}{1000}$$

Multiply \frac{14425}{3618} and \frac{1}{1000} to get \frac{577}{144720}.

$$\frac{577}{144720}$$

Factor

$$\frac{577}{5 \cdot 67 \cdot 2 ^ {4} \cdot 3 ^ {3}} = 0.003987009397457159$$