Solve 3/5-3/10+5/3

$$\frac { 3 } { 5 } - \frac { 3 } { 10 } + \frac { 5 } { 3 }$$

Evaluate

$$\frac{59}{30}\approx 1.966666667$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{3}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{6}{10}-\frac{3}{10}+\frac{5}{3}$$

Since \frac{6}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-3}{10}+\frac{5}{3}$$

Subtract 3 from 6 to get 3.

$$\frac{3}{10}+\frac{5}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{3}{10} and \frac{5}{3} to fractions with denominator 30.

$$\frac{9}{30}+\frac{50}{30}$$

Since \frac{9}{30} and \frac{50}{30} have the same denominator, add them by adding their numerators.

$$\frac{9+50}{30}$$

Add 9 and 50 to get 59.

$$\frac{59}{30}$$

Factor

$$\frac{59}{2 \cdot 3 \cdot 5} = 1\frac{29}{30} = 1.9666666666666666$$