Solve 32/5-5/8

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

Evaluate

$$\frac{111}{40}=2.775$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+2}{5}-\frac{5}{8}$$

Add 15 and 2 to get 17.

$$\frac{17}{5}-\frac{5}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{17}{5} and \frac{5}{8} to fractions with denominator 40.

$$\frac{136}{40}-\frac{25}{40}$$

Since \frac{136}{40} and \frac{25}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-25}{40}$$

Subtract 25 from 136 to get 111.

$$\frac{111}{40}$$

Factor

$$\frac{3 \cdot 37}{2 ^ {3} \cdot 5} = 2\frac{31}{40} = 2.775$$