Solve -11/12+-13/15+14/17

$$\frac { - 11 } { 12 } + \frac { - 13 } { 15 } + \frac { 14 } { 17 }$$

Evaluate

$$-\frac{979}{1020}\approx -0.959803922$$

Solution Steps

Fraction \frac{-11}{12} can be rewritten as -\frac{11}{12} by extracting the negative sign.

$$-\frac{11}{12}+\frac{-13}{15}+\frac{14}{17}$$

Fraction \frac{-13}{15} can be rewritten as -\frac{13}{15} by extracting the negative sign.

$$-\frac{11}{12}-\frac{13}{15}+\frac{14}{17}$$

Least common multiple of 12 and 15 is 60. Convert -\frac{11}{12} and \frac{13}{15} to fractions with denominator 60.

$$-\frac{55}{60}-\frac{52}{60}+\frac{14}{17}$$

Since -\frac{55}{60} and \frac{52}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-55-52}{60}+\frac{14}{17}$$

Subtract 52 from -55 to get -107.

$$-\frac{107}{60}+\frac{14}{17}$$

Least common multiple of 60 and 17 is 1020. Convert -\frac{107}{60} and \frac{14}{17} to fractions with denominator 1020.

$$-\frac{1819}{1020}+\frac{840}{1020}$$

Since -\frac{1819}{1020} and \frac{840}{1020} have the same denominator, add them by adding their numerators.

$$\frac{-1819+840}{1020}$$

Add -1819 and 840 to get -979.

$$-\frac{979}{1020}$$

Factor

$$-\frac{979}{1020} = -0.9598039215686275$$