Solve 1/3+(-1/5)-1+2/3

$$\frac { 1 } { 3 } + ( - \frac { 1 } { 5 } ) - 1 + \frac { 2 } { 3 }$$

Evaluate

$$-\frac{1}{5}=-0.2$$

Solution Steps

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

$$\frac{5}{15}-\frac{3}{15}-1+\frac{2}{3}$$

Since \frac{5}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{15}-1+\frac{2}{3}$$

Subtract 3 from 5 to get 2.

$$\frac{2}{15}-1+\frac{2}{3}$$

Convert 1 to fraction \frac{15}{15}.

$$\frac{2}{15}-\frac{15}{15}+\frac{2}{3}$$

Since \frac{2}{15} and \frac{15}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-15}{15}+\frac{2}{3}$$

Subtract 15 from 2 to get -13.

$$-\frac{13}{15}+\frac{2}{3}$$

Least common multiple of 15 and 3 is 15. Convert -\frac{13}{15} and \frac{2}{3} to fractions with denominator 15.

$$-\frac{13}{15}+\frac{10}{15}$$

Since -\frac{13}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{-13+10}{15}$$

Add -13 and 10 to get -3.

$$\frac{-3}{15}$$

Reduce the fraction \frac{-3}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{5}$$

Factor

$$-\frac{1}{5} = -0.2$$