Solve (0.3679/600)((1/0.14)-1)

$$( \frac{ 0.3679 }{ 600 } )(( \frac{ 1 }{ 0.14 } )-1)$$

Evaluate

$$\frac{158197}{42000000}\approx 0.003766595$$

Solution Steps

Expand \frac{0.3679}{600} by multiplying both numerator and the denominator by 10000.

$$\frac{3679}{6000000}\left(\frac{1}{0.14}-1\right)$$

Expand \frac{1}{0.14} by multiplying both numerator and the denominator by 100.

$$\frac{3679}{6000000}\left(\frac{100}{14}-1\right)$$

Reduce the fraction \frac{100}{14} to lowest terms by extracting and canceling out 2.

$$\frac{3679}{6000000}\left(\frac{50}{7}-1\right)$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{3679}{6000000}\left(\frac{50}{7}-\frac{7}{7}\right)$$

Since \frac{50}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3679}{6000000}\times \frac{50-7}{7}$$

Subtract 7 from 50 to get 43.

$$\frac{3679}{6000000}\times \frac{43}{7}$$

Multiply \frac{3679}{6000000} times \frac{43}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3679\times 43}{6000000\times 7}$$

Do the multiplications in the fraction \frac{3679\times 43}{6000000\times 7}.

$$\frac{158197}{42000000}$$

Factor

$$\frac{13 \cdot 43 \cdot 283}{3 \cdot 7 \cdot 2 ^ {7} \cdot 5 ^ {6}} = 0.003766595238095238$$