Solve 3/5:-6/5-4/5

$$\frac { 3 } { 5 } : \frac { - 6 } { 5 } - \frac { 4 } { 5 }$$

Evaluate

$$-\frac{13}{10}=-1.3$$

Solution Steps

Divide \frac{3}{5} by \frac{-6}{5} by multiplying \frac{3}{5} by the reciprocal of \frac{-6}{5}.

$$\frac{3\times 5}{5\left(-6\right)}-\frac{4}{5}$$

Cancel out 3\times 5 in both numerator and denominator.

$$\frac{1}{-2}-\frac{4}{5}$$

Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$-\frac{1}{2}-\frac{4}{5}$$

Least common multiple of 2 and 5 is 10. Convert -\frac{1}{2} and \frac{4}{5} to fractions with denominator 10.

$$-\frac{5}{10}-\frac{8}{10}$$

Since -\frac{5}{10} and \frac{8}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-8}{10}$$

Subtract 8 from -5 to get -13.

$$-\frac{13}{10}$$

Factor

$$-\frac{13}{10} = -1\frac{3}{10} = -1.3$$