Solve 4-3/5+8/3+5/2

$$4- \frac{ 3 }{ 5 } + \frac{ 8 }{ 3 } + \frac{ 5 }{ 2 }$$

Evaluate

$$\frac{257}{30}\approx 8.566666667$$

Solution Steps

Convert 4 to fraction \frac{20}{5}.

$$\frac{20}{5}-\frac{3}{5}+\frac{8}{3}+\frac{5}{2}$$

Since \frac{20}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-3}{5}+\frac{8}{3}+\frac{5}{2}$$

Subtract 3 from 20 to get 17.

$$\frac{17}{5}+\frac{8}{3}+\frac{5}{2}$$

Least common multiple of 5 and 3 is 15. Convert \frac{17}{5} and \frac{8}{3} to fractions with denominator 15.

$$\frac{51}{15}+\frac{40}{15}+\frac{5}{2}$$

Since \frac{51}{15} and \frac{40}{15} have the same denominator, add them by adding their numerators.

$$\frac{51+40}{15}+\frac{5}{2}$$

Add 51 and 40 to get 91.

$$\frac{91}{15}+\frac{5}{2}$$

Least common multiple of 15 and 2 is 30. Convert \frac{91}{15} and \frac{5}{2} to fractions with denominator 30.

$$\frac{182}{30}+\frac{75}{30}$$

Since \frac{182}{30} and \frac{75}{30} have the same denominator, add them by adding their numerators.

$$\frac{182+75}{30}$$

Add 182 and 75 to get 257.

$$\frac{257}{30}$$

Factor

$$\frac{257}{2 \cdot 3 \cdot 5} = 8\frac{17}{30} = 8.566666666666666$$