Solve -2/5-10/6-5/5

$$\frac { - 2 } { 5 } - \frac { 10 } { 6 } - \frac { 5 } { 5 }$$

Evaluate

$$-\frac{46}{15}\approx -3.066666667$$

Solution Steps

Divide 5 by 5 to get 1.

$$\frac{-2}{5}-\frac{10}{6}-1$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$-\frac{2}{5}-\frac{10}{6}-1$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 5 and 3 is 15. Convert -\frac{2}{5} and \frac{5}{3} to fractions with denominator 15.

$$-\frac{6}{15}-\frac{25}{15}-1$$

Since -\frac{6}{15} and \frac{25}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-6-25}{15}-1$$

Subtract 25 from -6 to get -31.

$$-\frac{31}{15}-1$$

Convert 1 to fraction \frac{15}{15}.

$$-\frac{31}{15}-\frac{15}{15}$$

Since -\frac{31}{15} and \frac{15}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-31-15}{15}$$

Subtract 15 from -31 to get -46.

$$-\frac{46}{15}$$

Factor

$$-\frac{46}{15} = -3\frac{1}{15} = -3.066666666666667$$