Solve left(29.54/27.714-1right)1/5.810^-3

$$\left( \frac{ 29.54 }{ 27.714 } -1 \right) \frac{ 1 }{ 5.8 { 10 }^{ -3 } }$$

Evaluate

$$\frac{4565000}{401853}\approx 11.359875377$$

Solution Steps

Expand \frac{29.54}{27.714} by multiplying both numerator and the denominator by 1000.

$$\left(\frac{29540}{27714}-1\right)\times \frac{1}{5.8\times 10^{-3}}$$

Reduce the fraction \frac{29540}{27714} to lowest terms by extracting and canceling out 2.

$$\left(\frac{14770}{13857}-1\right)\times \frac{1}{5.8\times 10^{-3}}$$

Subtract 1 from \frac{14770}{13857} to get \frac{913}{13857}.

$$\frac{913}{13857}\times \frac{1}{5.8\times 10^{-3}}$$

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

$$\frac{913}{13857}\times \frac{1}{5.8\times \frac{1}{1000}}$$

Multiply 5.8 and \frac{1}{1000} to get \frac{29}{5000}.

$$\frac{913}{13857}\times \frac{1}{\frac{29}{5000}}$$

Divide 1 by \frac{29}{5000} by multiplying 1 by the reciprocal of \frac{29}{5000}.

$$\frac{913}{13857}\times 1\times \frac{5000}{29}$$

Multiply 1 and \frac{5000}{29} to get \frac{5000}{29}.

$$\frac{913}{13857}\times \frac{5000}{29}$$

Multiply \frac{913}{13857} and \frac{5000}{29} to get \frac{4565000}{401853}.

$$\frac{4565000}{401853}$$

Factor

$$\frac{11 \cdot 83 \cdot 2 ^ {3} \cdot 5 ^ {4}}{3 \cdot 29 \cdot 31 \cdot 149} = 11\frac{144617}{401853} = 11.35987537731459$$