Solve 91/6-245/24

$$\frac { 91 } { 6 } - \frac { 245 } { 24 }$$

Evaluate

$$\frac{119}{24}\approx 4.958333333$$

Solution Steps

Least common multiple of 6 and 24 is 24. Convert \frac{91}{6} and \frac{245}{24} to fractions with denominator 24.

$$\frac{364}{24}-\frac{245}{24}$$

Since \frac{364}{24} and \frac{245}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{364-245}{24}$$

Subtract 245 from 364 to get 119.

$$\frac{119}{24}$$

Factor

$$\frac{7 \cdot 17}{2 ^ {3} \cdot 3} = 4\frac{23}{24} = 4.958333333333333$$