Solve 34/5-35/8+51/20

$$\frac { 34 } { 5 } - \frac { 35 } { 8 } + \frac { 51 } { 20 }$$

Evaluate

$$\frac{199}{40}=4.975$$

Solution Steps

Least common multiple of 5 and 8 is 40. Convert \frac{34}{5} and \frac{35}{8} to fractions with denominator 40.

$$\frac{272}{40}-\frac{175}{40}+\frac{51}{20}$$

Since \frac{272}{40} and \frac{175}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{272-175}{40}+\frac{51}{20}$$

Subtract 175 from 272 to get 97.

$$\frac{97}{40}+\frac{51}{20}$$

Least common multiple of 40 and 20 is 40. Convert \frac{97}{40} and \frac{51}{20} to fractions with denominator 40.

$$\frac{97}{40}+\frac{102}{40}$$

Since \frac{97}{40} and \frac{102}{40} have the same denominator, add them by adding their numerators.

$$\frac{97+102}{40}$$

Add 97 and 102 to get 199.

$$\frac{199}{40}$$

Factor

$$\frac{199}{2 ^ {3} \cdot 5} = 4\frac{39}{40} = 4.975$$