Solve 45/2-1/3

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

Evaluate

$$\frac{37}{6}\approx 6.166666667$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+5}{2}-\frac{1}{3}$$

Add 8 and 5 to get 13.

$$\frac{13}{2}-\frac{1}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{13}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{39}{6}-\frac{2}{6}$$

Since \frac{39}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-2}{6}$$

Subtract 2 from 39 to get 37.

$$\frac{37}{6}$$

Factor

$$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$$