Solve 62/3-51/2=

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

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+2}{3}-\frac{5\times 2+1}{2}$$

Add 18 and 2 to get 20.

$$\frac{20}{3}-\frac{5\times 2+1}{2}$$

Multiply 5 and 2 to get 10.

$$\frac{20}{3}-\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{20}{3}-\frac{11}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{20}{3} and \frac{11}{2} to fractions with denominator 6.

$$\frac{40}{6}-\frac{33}{6}$$

Since \frac{40}{6} and \frac{33}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-33}{6}$$

Subtract 33 from 40 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$