Solve 4/5-5(1/3)+3/2

$$\frac{ 4 }{ 5 } -5( \frac{ 1 }{ 3 } )+ \frac{ 3 }{ 2 }$$

Evaluate

$$\frac{19}{30}\approx 0.633333333$$

Solution Steps

Multiply 5 and \frac{1}{3} to get \frac{5}{3}.

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

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

$$\frac{12}{15}-\frac{25}{15}+\frac{3}{2}$$

Since \frac{12}{15} and \frac{25}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-25}{15}+\frac{3}{2}$$

Subtract 25 from 12 to get -13.

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

Least common multiple of 15 and 2 is 30. Convert -\frac{13}{15} and \frac{3}{2} to fractions with denominator 30.

$$-\frac{26}{30}+\frac{45}{30}$$

Since -\frac{26}{30} and \frac{45}{30} have the same denominator, add them by adding their numerators.

$$\frac{-26+45}{30}$$

Add -26 and 45 to get 19.

$$\frac{19}{30}$$

Factor

$$\frac{19}{2 \cdot 3 \cdot 5} = 0.6333333333333333$$