Solve 6/5-8/4+5/3

$$\frac { 6 } { 5 } - \frac { 8 } { 4 } + \frac { 5 } { 3 }$$

Evaluate

$$\frac{13}{15}\approx 0.866666667$$

Solution Steps

Divide 8 by 4 to get 2.

$$\frac{6}{5}-2+\frac{5}{3}$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{6}{5}-\frac{10}{5}+\frac{5}{3}$$

Since \frac{6}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-10}{5}+\frac{5}{3}$$

Subtract 10 from 6 to get -4.

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

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

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

Since -\frac{12}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

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

Add -12 and 25 to get 13.

$$\frac{13}{15}$$

Factor

$$\frac{13}{3 \cdot 5} = 0.8666666666666667$$