Solve -2/198+199+199+198+196

$$\frac { - 2 } { 198 + 199 } + 199 + 198 + 196$$

Evaluate

$$\frac{235419}{397}\approx 592.994962217$$

Solution Steps

Add 198 and 199 to get 397.

$$\frac{-2}{397}+199+198+196$$

Fraction \frac{-2}{397} can be rewritten as -\frac{2}{397} by extracting the negative sign.

$$-\frac{2}{397}+199+198+196$$

Convert 199 to fraction \frac{79003}{397}.

$$-\frac{2}{397}+\frac{79003}{397}+198+196$$

Since -\frac{2}{397} and \frac{79003}{397} have the same denominator, add them by adding their numerators.

$$\frac{-2+79003}{397}+198+196$$

Add -2 and 79003 to get 79001.

$$\frac{79001}{397}+198+196$$

Convert 198 to fraction \frac{78606}{397}.

$$\frac{79001}{397}+\frac{78606}{397}+196$$

Since \frac{79001}{397} and \frac{78606}{397} have the same denominator, add them by adding their numerators.

$$\frac{79001+78606}{397}+196$$

Add 79001 and 78606 to get 157607.

$$\frac{157607}{397}+196$$

Convert 196 to fraction \frac{77812}{397}.

$$\frac{157607}{397}+\frac{77812}{397}$$

Since \frac{157607}{397} and \frac{77812}{397} have the same denominator, add them by adding their numerators.

$$\frac{157607+77812}{397}$$

Add 157607 and 77812 to get 235419.

$$\frac{235419}{397}$$

Factor

$$\frac{3 \cdot 97 \cdot 809}{397} = 592\frac{395}{397} = 592.9949622166247$$