Solve 8/5-1+13/15

$$\frac { 8 } { 5 } - 1 + \frac { 13 } { 15 }$$

Evaluate

$$\frac{22}{15}\approx 1.466666667$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$\frac{8}{5}-\frac{5}{5}+\frac{13}{15}$$

Since \frac{8}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-5}{5}+\frac{13}{15}$$

Subtract 5 from 8 to get 3.

$$\frac{3}{5}+\frac{13}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{3}{5} and \frac{13}{15} to fractions with denominator 15.

$$\frac{9}{15}+\frac{13}{15}$$

Since \frac{9}{15} and \frac{13}{15} have the same denominator, add them by adding their numerators.

$$\frac{9+13}{15}$$

Add 9 and 13 to get 22.

$$\frac{22}{15}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 5} = 1\frac{7}{15} = 1.4666666666666666$$