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

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

Evaluate

$$-\frac{11}{12}\approx -0.916666667$$

Solution Steps

Subtract 4 from 2 to get -2.

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

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

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

Subtract 3 from 2 to get -1.

$$-\frac{2}{3}+\frac{-1}{4}$$

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

$$-\frac{2}{3}-\frac{1}{4}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$-\frac{8}{12}-\frac{3}{12}$$

Since -\frac{8}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-3}{12}$$

Subtract 3 from -8 to get -11.

$$-\frac{11}{12}$$

Factor

$$-\frac{11}{12} = -0.9166666666666666$$