Solve 62/3-41/2

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

Evaluate

$$\frac{13}{6}\approx 2.166666667$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+2}{3}-\frac{4\times 2+1}{2}$$

Add 18 and 2 to get 20.

$$\frac{20}{3}-\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{20}{3}-\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{20}{3}-\frac{9}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{20}{3} and \frac{9}{2} to fractions with denominator 6.

$$\frac{40}{6}-\frac{27}{6}$$

Since \frac{40}{6} and \frac{27}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-27}{6}$$

Subtract 27 from 40 to get 13.

$$\frac{13}{6}$$

Factor

$$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$$