Solve 2.879/-0.879+-0.532/2.532+0.653/1.347

$$\frac{ 2.879 }{ -0.879 } + \frac{ -0.532 }{ 2.532 } + \frac{ 0.653 }{ 1.347 }$$

Evaluate

$$-\frac{249880243}{83275581}\approx -3.000642445$$

Solution Steps

Expand \frac{2.879}{-0.879} by multiplying both numerator and the denominator by 1000.

$$\frac{2879}{-879}+\frac{-0.532}{2.532}+\frac{0.653}{1.347}$$

Fraction \frac{2879}{-879} can be rewritten as -\frac{2879}{879} by extracting the negative sign.

$$-\frac{2879}{879}+\frac{-0.532}{2.532}+\frac{0.653}{1.347}$$

Expand \frac{-0.532}{2.532} by multiplying both numerator and the denominator by 1000.

$$-\frac{2879}{879}+\frac{-532}{2532}+\frac{0.653}{1.347}$$

Reduce the fraction \frac{-532}{2532} to lowest terms by extracting and canceling out 4.

$$-\frac{2879}{879}-\frac{133}{633}+\frac{0.653}{1.347}$$

Least common multiple of 879 and 633 is 185469. Convert -\frac{2879}{879} and \frac{133}{633} to fractions with denominator 185469.

$$-\frac{607469}{185469}-\frac{38969}{185469}+\frac{0.653}{1.347}$$

Since -\frac{607469}{185469} and \frac{38969}{185469} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-607469-38969}{185469}+\frac{0.653}{1.347}$$

Subtract 38969 from -607469 to get -646438.

$$-\frac{646438}{185469}+\frac{0.653}{1.347}$$

Expand \frac{0.653}{1.347} by multiplying both numerator and the denominator by 1000.

$$-\frac{646438}{185469}+\frac{653}{1347}$$

Least common multiple of 185469 and 1347 is 83275581. Convert -\frac{646438}{185469} and \frac{653}{1347} to fractions with denominator 83275581.

$$-\frac{290250662}{83275581}+\frac{40370419}{83275581}$$

Since -\frac{290250662}{83275581} and \frac{40370419}{83275581} have the same denominator, add them by adding their numerators.

$$\frac{-290250662+40370419}{83275581}$$

Add -290250662 and 40370419 to get -249880243.

$$-\frac{249880243}{83275581}$$

Factor

$$-\frac{249880243}{83275581} = -3\frac{53500}{83275581} = -3.0006424452325344$$