Solve 39/5-35/8+51/20

$$\frac { 39 } { 5 } - \frac { 35 } { 8 } + \frac { 51 } { 20 }$$

Evaluate

$$\frac{239}{40}=5.975$$

Solution Steps

Least common multiple of 5 and 8 is 40. Convert \frac{39}{5} and \frac{35}{8} to fractions with denominator 40.

$$\frac{312}{40}-\frac{175}{40}+\frac{51}{20}$$

Since \frac{312}{40} and \frac{175}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{312-175}{40}+\frac{51}{20}$$

Subtract 175 from 312 to get 137.

$$\frac{137}{40}+\frac{51}{20}$$

Least common multiple of 40 and 20 is 40. Convert \frac{137}{40} and \frac{51}{20} to fractions with denominator 40.

$$\frac{137}{40}+\frac{102}{40}$$

Since \frac{137}{40} and \frac{102}{40} have the same denominator, add them by adding their numerators.

$$\frac{137+102}{40}$$

Add 137 and 102 to get 239.

$$\frac{239}{40}$$

Factor

$$\frac{239}{2 ^ {3} \cdot 5} = 5\frac{39}{40} = 5.975$$