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

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

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

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

$$-\left(\frac{3}{15}+\frac{20}{15}\right)+\frac{6}{5}$$

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 23.

$$-\frac{23}{15}+\frac{6}{5}$$

Least common multiple of 15 and 5 is 15. Convert -\frac{23}{15} and \frac{6}{5} to fractions with denominator 15.

$$-\frac{23}{15}+\frac{18}{15}$$

Since -\frac{23}{15} and \frac{18}{15} have the same denominator, add them by adding their numerators.

$$\frac{-23+18}{15}$$

Add -23 and 18 to get -5.

$$\frac{-5}{15}$$

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

$$-\frac{1}{3}$$

Factor

$$-\frac{1}{3} = -0.3333333333333333$$