Solve -21/3+11/4

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

Evaluate

$$-\frac{13}{12}\approx -1.083333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$-\frac{6+1}{3}+\frac{1\times 4+1}{4}$$

Add 6 and 1 to get 7.

$$-\frac{7}{3}+\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$-\frac{7}{3}+\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$-\frac{7}{3}+\frac{5}{4}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{7}{3} and \frac{5}{4} to fractions with denominator 12.

$$-\frac{28}{12}+\frac{15}{12}$$

Since -\frac{28}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.

$$\frac{-28+15}{12}$$

Add -28 and 15 to get -13.

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

Factor

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$