Solve 204+584*1993/1994*584-380-5/89

$$\frac { 204 + 584 \times 1993 } { 1994 \times 584 - 380 } - \frac { 5 } { 89 }$$

Evaluate

$$\frac{84}{89}\approx 0.943820225$$

Solution Steps

Multiply 584 and 1993 to get 1163912.

$$\frac{204+1163912}{1994\times 584-380}-\frac{5}{89}$$

Add 204 and 1163912 to get 1164116.

$$\frac{1164116}{1994\times 584-380}-\frac{5}{89}$$

Multiply 1994 and 584 to get 1164496.

$$\frac{1164116}{1164496-380}-\frac{5}{89}$$

Subtract 380 from 1164496 to get 1164116.

$$\frac{1164116}{1164116}-\frac{5}{89}$$

Divide 1164116 by 1164116 to get 1.

$$1-\frac{5}{89}$$

Convert 1 to fraction \frac{89}{89}.

$$\frac{89}{89}-\frac{5}{89}$$

Since \frac{89}{89} and \frac{5}{89} have the same denominator, subtract them by subtracting their numerators.

$$\frac{89-5}{89}$$

Subtract 5 from 89 to get 84.

$$\frac{84}{89}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 7}{89} = 0.9438202247191011$$