Solve 4/5+2/6+-1/3=

$$\frac { 4 } { 5 } + \frac { 2 } { 6 } + \frac { - 1 } { 3 } =$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

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

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

$$\frac{12}{15}+\frac{5}{15}+\frac{-1}{3}$$

Since \frac{12}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{12+5}{15}+\frac{-1}{3}$$

Add 12 and 5 to get 17.

$$\frac{17}{15}+\frac{-1}{3}$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\frac{17}{15}-\frac{1}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{17}{15} and \frac{1}{3} to fractions with denominator 15.

$$\frac{17}{15}-\frac{5}{15}$$

Since \frac{17}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-5}{15}$$

Subtract 5 from 17 to get 12.

$$\frac{12}{15}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$