Solve (-4/6):(+6/5)=

$$( - \frac { 4 } { 6 } ) : ( + \frac { 6 } { 5 } ) =$$

Evaluate

$$-\frac{5}{9}\approx -0.555555556$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{2}{3}}{\frac{6}{5}}$$

Divide -\frac{2}{3} by \frac{6}{5} by multiplying -\frac{2}{3} by the reciprocal of \frac{6}{5}.

$$-\frac{2}{3}\times \frac{5}{6}$$

Multiply -\frac{2}{3} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 5}{3\times 6}$$

Do the multiplications in the fraction \frac{-2\times 5}{3\times 6}.

$$\frac{-10}{18}$$

Reduce the fraction \frac{-10}{18} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{9}$$

Factor

$$-\frac{5}{9} = -0.5555555555555556$$