Solve 2-11/2+3+2/3=

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

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{4}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 4 to get 1.

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

Convert 3 to fraction \frac{6}{2}.

$$\frac{1}{2}+\frac{6}{2}+\frac{2}{3}$$

Since \frac{1}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+6}{2}+\frac{2}{3}$$

Add 1 and 6 to get 7.

$$\frac{7}{2}+\frac{2}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{21}{6}+\frac{4}{6}$$

Since \frac{21}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{21+4}{6}$$

Add 21 and 4 to get 25.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$