Solve -21/2+41/3=

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

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

$$-\frac{5}{2}+\frac{4\times 3+1}{3}$$

Multiply 4 and 3 to get 12.

$$-\frac{5}{2}+\frac{12+1}{3}$$

Add 12 and 1 to get 13.

$$-\frac{5}{2}+\frac{13}{3}$$

Least common multiple of 2 and 3 is 6. Convert -\frac{5}{2} and \frac{13}{3} to fractions with denominator 6.

$$-\frac{15}{6}+\frac{26}{6}$$

Since -\frac{15}{6} and \frac{26}{6} have the same denominator, add them by adding their numerators.

$$\frac{-15+26}{6}$$

Add -15 and 26 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$