Solve -1/5+4/3+6/5

$$- \frac{ 1 }{ 5 } + \frac{ 4 }{ 3 } + \frac{ 6 }{ 5 }$$

Evaluate

$$\frac{7}{3}\approx 2.333333333$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert -\frac{1}{5} and \frac{4}{3} to fractions with denominator 15.

$$-\frac{3}{15}+\frac{20}{15}+\frac{6}{5}$$

Since -\frac{3}{15} and \frac{20}{15} have the same denominator, add them by adding their numerators.

$$\frac{-3+20}{15}+\frac{6}{5}$$

Add -3 and 20 to get 17.

$$\frac{17}{15}+\frac{6}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{17}{15} and \frac{6}{5} to fractions with denominator 15.

$$\frac{17}{15}+\frac{18}{15}$$

Since \frac{17}{15} and \frac{18}{15} have the same denominator, add them by adding their numerators.

$$\frac{17+18}{15}$$

Add 17 and 18 to get 35.

$$\frac{35}{15}$$

Reduce the fraction \frac{35}{15} to lowest terms by extracting and canceling out 5.

$$\frac{7}{3}$$

Factor

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$