Solve (-1/3)+(-1/4)+-1/5=

$$( \frac { - 1 } { 3 } ) + ( \frac { - 1 } { 4 } ) + \frac { - 1 } { 5 } =$$

Evaluate

$$-\frac{47}{60}\approx -0.783333333$$

Solution Steps

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$-\frac{1}{3}+\frac{-1}{4}+\frac{-1}{5}$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$-\frac{1}{3}-\frac{1}{4}+\frac{-1}{5}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$-\frac{4}{12}-\frac{3}{12}+\frac{-1}{5}$$

Since -\frac{4}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-3}{12}+\frac{-1}{5}$$

Subtract 3 from -4 to get -7.

$$-\frac{7}{12}+\frac{-1}{5}$$

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$-\frac{7}{12}-\frac{1}{5}$$

Least common multiple of 12 and 5 is 60. Convert -\frac{7}{12} and \frac{1}{5} to fractions with denominator 60.

$$-\frac{35}{60}-\frac{12}{60}$$

Since -\frac{35}{60} and \frac{12}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-35-12}{60}$$

Subtract 12 from -35 to get -47.

$$-\frac{47}{60}$$

Factor

$$-\frac{47}{60} = -0.7833333333333333$$