Solve (13593/998-1)*0.009

$$( \frac { 13593 } { 998 } - 1 ) \times 0.009$$

Evaluate

$$\frac{22671}{199600}\approx 0.113582164$$

Solution Steps

Convert 1 to fraction \frac{998}{998}.

$$\left(\frac{13593}{998}-\frac{998}{998}\right)\times 0.009$$

Since \frac{13593}{998} and \frac{998}{998} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13593-998}{998}\times 0.009$$

Subtract 998 from 13593 to get 12595.

$$\frac{12595}{998}\times 0.009$$

Convert decimal number 0.009 to fraction \frac{9}{1000}.

$$\frac{12595}{998}\times \frac{9}{1000}$$

Multiply \frac{12595}{998} times \frac{9}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12595\times 9}{998\times 1000}$$

Do the multiplications in the fraction \frac{12595\times 9}{998\times 1000}.

$$\frac{113355}{998000}$$

Reduce the fraction \frac{113355}{998000} to lowest terms by extracting and canceling out 5.

$$\frac{22671}{199600}$$

Factor

$$\frac{11 \cdot 229 \cdot 3 ^ {2}}{499 \cdot 2 ^ {4} \cdot 5 ^ {2}} = 0.11358216432865731$$