Solve 51/2+(-22/3)

$$5 \frac { 1 } { 2 } + ( - 2 \frac { 2 } { 3 } )$$

Evaluate

$$\frac{17}{6}\approx 2.833333333$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}-\frac{2\times 3+2}{3}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}-\frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{11}{2}-\frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{11}{2}-\frac{8}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{11}{2} and \frac{8}{3} to fractions with denominator 6.

$$\frac{33}{6}-\frac{16}{6}$$

Since \frac{33}{6} and \frac{16}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-16}{6}$$

Subtract 16 from 33 to get 17.

$$\frac{17}{6}$$

Factor

$$\frac{17}{2 \cdot 3} = 2\frac{5}{6} = 2.8333333333333335$$