Solve -11/3+1/4+-11/2

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

Evaluate

$$-\frac{31}{12}\approx -2.583333333$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

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

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

$$-\frac{16}{12}+\frac{3}{12}-\frac{1\times 2+1}{2}$$

Since -\frac{16}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{-16+3}{12}-\frac{1\times 2+1}{2}$$

Add -16 and 3 to get -13.

$$-\frac{13}{12}-\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$-\frac{13}{12}-\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$-\frac{13}{12}-\frac{3}{2}$$

Least common multiple of 12 and 2 is 12. Convert -\frac{13}{12} and \frac{3}{2} to fractions with denominator 12.

$$-\frac{13}{12}-\frac{18}{12}$$

Since -\frac{13}{12} and \frac{18}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-13-18}{12}$$

Subtract 18 from -13 to get -31.

$$-\frac{31}{12}$$

Factor

$$-\frac{31}{12} = -2\frac{7}{12} = -2.5833333333333335$$