Solve 4/3+19/15-4/5

$$\frac { 4 } { 3 } + \frac { 19 } { 15 } - \frac { 4 } { 5 }$$

Evaluate

$$\frac{9}{5}=1.8$$

Solution Steps

Least common multiple of 3 and 15 is 15. Convert \frac{4}{3} and \frac{19}{15} to fractions with denominator 15.

$$\frac{20}{15}+\frac{19}{15}-\frac{4}{5}$$

Since \frac{20}{15} and \frac{19}{15} have the same denominator, add them by adding their numerators.

$$\frac{20+19}{15}-\frac{4}{5}$$

Add 20 and 19 to get 39.

$$\frac{39}{15}-\frac{4}{5}$$

Reduce the fraction \frac{39}{15} to lowest terms by extracting and canceling out 3.

$$\frac{13}{5}-\frac{4}{5}$$

Since \frac{13}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-4}{5}$$

Subtract 4 from 13 to get 9.

$$\frac{9}{5}$$

Factor

$$\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8$$