Solve 999^2+2:999+1

$$999 ^ { 2 } + 2 : 999 + 1$$

Evaluate

$$\frac{997004000}{999}\approx 998002.002002002$$

Solution Steps

Calculate 999 to the power of 2 and get 998001.

$$998001+\frac{2}{999}+1$$

Convert 998001 to fraction \frac{997002999}{999}.

$$\frac{997002999}{999}+\frac{2}{999}+1$$

Since \frac{997002999}{999} and \frac{2}{999} have the same denominator, add them by adding their numerators.

$$\frac{997002999+2}{999}+1$$

Add 997002999 and 2 to get 997003001.

$$\frac{997003001}{999}+1$$

Convert 1 to fraction \frac{999}{999}.

$$\frac{997003001}{999}+\frac{999}{999}$$

Since \frac{997003001}{999} and \frac{999}{999} have the same denominator, add them by adding their numerators.

$$\frac{997003001+999}{999}$$

Add 997003001 and 999 to get 997004000.

$$\frac{997004000}{999}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {3} \cdot 23 \cdot 10837}{3 ^ {3} \cdot 37} = 998002\frac{2}{999} = 998002.002002002$$