Solve 13/6-3/5+1/30

$$\frac{ 13 }{ 6 } - \frac{ 3 }{ 5 } + \frac{ 1 }{ 30 }$$

Evaluate

$$\frac{8}{5}=1.6$$

Solution Steps

Least common multiple of 6 and 5 is 30. Convert \frac{13}{6} and \frac{3}{5} to fractions with denominator 30.

$$\frac{65}{30}-\frac{18}{30}+\frac{1}{30}$$

Since \frac{65}{30} and \frac{18}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-18}{30}+\frac{1}{30}$$

Subtract 18 from 65 to get 47.

$$\frac{47}{30}+\frac{1}{30}$$

Since \frac{47}{30} and \frac{1}{30} have the same denominator, add them by adding their numerators.

$$\frac{47+1}{30}$$

Add 47 and 1 to get 48.

$$\frac{48}{30}$$

Reduce the fraction \frac{48}{30} to lowest terms by extracting and canceling out 6.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$