Solve 13/5-12/3

$$1 \frac { 3 } { 5 } - 1 \frac { 2 } { 3 }$$

Evaluate

$$-\frac{1}{15}\approx -0.066666667$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+3}{5}-\frac{1\times 3+2}{3}$$

Add 5 and 3 to get 8.

$$\frac{8}{5}-\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

$$\frac{8}{5}-\frac{5}{3}$$

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

$$\frac{24}{15}-\frac{25}{15}$$

Since \frac{24}{15} and \frac{25}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-25}{15}$$

Subtract 25 from 24 to get -1.

$$-\frac{1}{15}$$

Factor

$$-\frac{1}{15} = -0.06666666666666667$$