Solve (-2/3)+(-3/4)=

$$( \frac { - 2 } { 3 } ) + ( \frac { - 3 } { 4 } ) =$$

Evaluate

$$-\frac{17}{12}\approx -1.416666667$$

Solution Steps

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

$$-\frac{2}{3}+\frac{-3}{4}$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$-\frac{2}{3}-\frac{3}{4}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{2}{3} and \frac{3}{4} to fractions with denominator 12.

$$-\frac{8}{12}-\frac{9}{12}$$

Since -\frac{8}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-9}{12}$$

Subtract 9 from -8 to get -17.

$$-\frac{17}{12}$$

Factor

$$-\frac{17}{12} = -1\frac{5}{12} = -1.4166666666666667$$