Solve 100/60*0.508^2*946/100*10^-3

$$\frac{ 100 }{ 60 } \times { 0.508 }^{ 2 } \times \frac{ 946 }{ 100 \times { 10 }^{ -3 } }$$

Evaluate

$$\frac{7629017}{1875}\approx 4068.809066667$$

Solution Steps

Reduce the fraction \frac{100}{60} to lowest terms by extracting and canceling out 20.

$$\frac{5}{3}\times 0.508^{2}\times \frac{946}{100\times 10^{-3}}$$

Calculate 0.508 to the power of 2 and get 0.258064.

$$\frac{5}{3}\times 0.258064\times \frac{946}{100\times 10^{-3}}$$

Multiply \frac{5}{3} and 0.258064 to get \frac{16129}{37500}.

$$\frac{16129}{37500}\times \frac{946}{100\times 10^{-3}}$$

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

$$\frac{16129}{37500}\times \frac{946}{100\times \frac{1}{1000}}$$

Multiply 100 and \frac{1}{1000} to get \frac{1}{10}.

$$\frac{16129}{37500}\times \frac{946}{\frac{1}{10}}$$

Divide 946 by \frac{1}{10} by multiplying 946 by the reciprocal of \frac{1}{10}.

$$\frac{16129}{37500}\times 946\times 10$$

Multiply 946 and 10 to get 9460.

$$\frac{16129}{37500}\times 9460$$

Multiply \frac{16129}{37500} and 9460 to get \frac{7629017}{1875}.

$$\frac{7629017}{1875}$$

Factor

$$\frac{11 \cdot 43 \cdot 127 ^ {2}}{3 \cdot 5 ^ {4}} = 4068\frac{1517}{1875} = 4068.8090666666667$$