Solve -12/13+11/14-3/5

$$\frac{ -12 }{ 13 } + \frac{ 11 }{ 14 } - \frac{ 3 }{ 5 }$$

Evaluate

$$-\frac{671}{910}\approx -0.737362637$$

Solution Steps

Fraction \frac{-12}{13} can be rewritten as -\frac{12}{13} by extracting the negative sign.

$$-\frac{12}{13}+\frac{11}{14}-\frac{3}{5}$$

Least common multiple of 13 and 14 is 182. Convert -\frac{12}{13} and \frac{11}{14} to fractions with denominator 182.

$$-\frac{168}{182}+\frac{143}{182}-\frac{3}{5}$$

Since -\frac{168}{182} and \frac{143}{182} have the same denominator, add them by adding their numerators.

$$\frac{-168+143}{182}-\frac{3}{5}$$

Add -168 and 143 to get -25.

$$-\frac{25}{182}-\frac{3}{5}$$

Least common multiple of 182 and 5 is 910. Convert -\frac{25}{182} and \frac{3}{5} to fractions with denominator 910.

$$-\frac{125}{910}-\frac{546}{910}$$

Since -\frac{125}{910} and \frac{546}{910} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-125-546}{910}$$

Subtract 546 from -125 to get -671.

$$-\frac{671}{910}$$

Factor

$$-\frac{671}{910} = -0.7373626373626374$$