Solve 8/5+6/9-8/3

$$\frac { 8 } { 5 } + \frac { 6 } { 9 } - \frac { 8 } { 3 }$$

Evaluate

$$-\frac{2}{5}=-0.4$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{8}{5}+\frac{2}{3}-\frac{8}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{8}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{24}{15}+\frac{10}{15}-\frac{8}{3}$$

Since \frac{24}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{24+10}{15}-\frac{8}{3}$$

Add 24 and 10 to get 34.

$$\frac{34}{15}-\frac{8}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{34}{15} and \frac{8}{3} to fractions with denominator 15.

$$\frac{34}{15}-\frac{40}{15}$$

Since \frac{34}{15} and \frac{40}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-40}{15}$$

Subtract 40 from 34 to get -6.

$$\frac{-6}{15}$$

Reduce the fraction \frac{-6}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{2}{5}$$

Factor

$$-\frac{2}{5} = -0.4$$