Solve -4/5-(-3)-2/3?

$$- \frac { 4 } { 5 } - ( - 3 ) - \frac { 2 } { 3 } ?$$

Evaluate

$$\frac{23}{15}\approx 1.533333333$$

Solution Steps

The opposite of -3 is 3.

$$-\frac{4}{5}+3-\frac{2}{3}$$

Convert 3 to fraction \frac{15}{5}.

$$-\frac{4}{5}+\frac{15}{5}-\frac{2}{3}$$

Since -\frac{4}{5} and \frac{15}{5} have the same denominator, add them by adding their numerators.

$$\frac{-4+15}{5}-\frac{2}{3}$$

Add -4 and 15 to get 11.

$$\frac{11}{5}-\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{11}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{33}{15}-\frac{10}{15}$$

Since \frac{33}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-10}{15}$$

Subtract 10 from 33 to get 23.

$$\frac{23}{15}$$

Factor

$$\frac{23}{3 \cdot 5} = 1\frac{8}{15} = 1.5333333333333334$$