Solve 12/3+31/2-25/6

$$1 \frac { 2 } { 3 } + 3 \frac { 1 } { 2 } - 2 \frac { 5 } { 6 }$$

Evaluate

$$\frac{7}{3}\approx 2.333333333$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}+\frac{3\times 2+1}{2}-\frac{2\times 6+5}{6}$$

Add 3 and 2 to get 5.

$$\frac{5}{3}+\frac{3\times 2+1}{2}-\frac{2\times 6+5}{6}$$

Multiply 3 and 2 to get 6.

$$\frac{5}{3}+\frac{6+1}{2}-\frac{2\times 6+5}{6}$$

Add 6 and 1 to get 7.

$$\frac{5}{3}+\frac{7}{2}-\frac{2\times 6+5}{6}$$

Least common multiple of 3 and 2 is 6. Convert \frac{5}{3} and \frac{7}{2} to fractions with denominator 6.

$$\frac{10}{6}+\frac{21}{6}-\frac{2\times 6+5}{6}$$

Since \frac{10}{6} and \frac{21}{6} have the same denominator, add them by adding their numerators.

$$\frac{10+21}{6}-\frac{2\times 6+5}{6}$$

Add 10 and 21 to get 31.

$$\frac{31}{6}-\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{31}{6}-\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{31}{6}-\frac{17}{6}$$

Since \frac{31}{6} and \frac{17}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-17}{6}$$

Subtract 17 from 31 to get 14.

$$\frac{14}{6}$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}$$

Factor

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$