Solve 21/3+31/2-54/6

$$2 \frac{ 1 }{ 3 } +3 \frac{ 1 }{ 2 } -5 \frac{ 4 }{ 6 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3}+\frac{3\times 2+1}{2}-\frac{5\times 6+4}{6}$$

Add 6 and 1 to get 7.

$$\frac{7}{3}+\frac{3\times 2+1}{2}-\frac{5\times 6+4}{6}$$

Multiply 3 and 2 to get 6.

$$\frac{7}{3}+\frac{6+1}{2}-\frac{5\times 6+4}{6}$$

Add 6 and 1 to get 7.

$$\frac{7}{3}+\frac{7}{2}-\frac{5\times 6+4}{6}$$

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

$$\frac{14}{6}+\frac{21}{6}-\frac{5\times 6+4}{6}$$

Since \frac{14}{6} and \frac{21}{6} have the same denominator, add them by adding their numerators.

$$\frac{14+21}{6}-\frac{5\times 6+4}{6}$$

Add 14 and 21 to get 35.

$$\frac{35}{6}-\frac{5\times 6+4}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{35}{6}-\frac{30+4}{6}$$

Add 30 and 4 to get 34.

$$\frac{35}{6}-\frac{34}{6}$$

Since \frac{35}{6} and \frac{34}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-34}{6}$$

Subtract 34 from 35 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$