Solve -3/5+-2/3--1/7=

$$\frac { - 3 } { 5 } + \frac { - 2 } { 3 } - \frac { - 1 } { 7 } =$$

Evaluate

$$-\frac{118}{105}\approx -1.123809524$$

Solution Steps

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$-\frac{3}{5}+\frac{-2}{3}-\frac{-1}{7}$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-\frac{3}{5}-\frac{2}{3}-\frac{-1}{7}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{3}{5} and \frac{2}{3} to fractions with denominator 15.

$$-\frac{9}{15}-\frac{10}{15}-\frac{-1}{7}$$

Since -\frac{9}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-10}{15}-\frac{-1}{7}$$

Subtract 10 from -9 to get -19.

$$-\frac{19}{15}-\frac{-1}{7}$$

Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

$$-\frac{19}{15}-\left(-\frac{1}{7}\right)$$

The opposite of -\frac{1}{7} is \frac{1}{7}.

$$-\frac{19}{15}+\frac{1}{7}$$

Least common multiple of 15 and 7 is 105. Convert -\frac{19}{15} and \frac{1}{7} to fractions with denominator 105.

$$-\frac{133}{105}+\frac{15}{105}$$

Since -\frac{133}{105} and \frac{15}{105} have the same denominator, add them by adding their numerators.

$$\frac{-133+15}{105}$$

Add -133 and 15 to get -118.

$$-\frac{118}{105}$$

Factor

$$-\frac{118}{105} = -1\frac{13}{105} = -1.1238095238095238$$