Solve 105/2-163/12

$$\frac { 105 } { 2 } - \frac { 163 } { 12 }$$

Evaluate

$$\frac{467}{12}\approx 38.916666667$$

Solution Steps

Least common multiple of 2 and 12 is 12. Convert \frac{105}{2} and \frac{163}{12} to fractions with denominator 12.

$$\frac{630}{12}-\frac{163}{12}$$

Since \frac{630}{12} and \frac{163}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{630-163}{12}$$

Subtract 163 from 630 to get 467.

$$\frac{467}{12}$$

Factor

$$\frac{467}{2 ^ {2} \cdot 3} = 38\frac{11}{12} = 38.916666666666664$$