Solve -3/13+3/5-2/2

$$\frac { - 3 } { 13 } + \frac { 3 } { 5 } - \frac { 2 } { 2 }$$

Evaluate

$$-\frac{41}{65}\approx -0.630769231$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{-3}{13}+\frac{3}{5}-1$$

Fraction \frac{-3}{13} can be rewritten as -\frac{3}{13} by extracting the negative sign.

$$-\frac{3}{13}+\frac{3}{5}-1$$

Least common multiple of 13 and 5 is 65. Convert -\frac{3}{13} and \frac{3}{5} to fractions with denominator 65.

$$-\frac{15}{65}+\frac{39}{65}-1$$

Since -\frac{15}{65} and \frac{39}{65} have the same denominator, add them by adding their numerators.

$$\frac{-15+39}{65}-1$$

Add -15 and 39 to get 24.

$$\frac{24}{65}-1$$

Convert 1 to fraction \frac{65}{65}.

$$\frac{24}{65}-\frac{65}{65}$$

Since \frac{24}{65} and \frac{65}{65} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-65}{65}$$

Subtract 65 from 24 to get -41.

$$-\frac{41}{65}$$

Factor

$$-\frac{41}{65} = -0.6307692307692307$$