Solve -3/4-2/3div(-4/5)

$$- \frac{ 3 }{ 4 } - \frac{ 2 }{ 3 } \div (- \frac{ 4 }{ 5 } )$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Divide \frac{2}{3} by -\frac{4}{5} by multiplying \frac{2}{3} by the reciprocal of -\frac{4}{5}.

$$-\frac{3}{4}-\frac{2}{3}\left(-\frac{5}{4}\right)$$

Multiply \frac{2}{3} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{3}{4}-\frac{2\left(-5\right)}{3\times 4}$$

Do the multiplications in the fraction \frac{2\left(-5\right)}{3\times 4}.

$$-\frac{3}{4}-\frac{-10}{12}$$

Reduce the fraction \frac{-10}{12} to lowest terms by extracting and canceling out 2.

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

The opposite of -\frac{5}{6} is \frac{5}{6}.

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

Least common multiple of 4 and 6 is 12. Convert -\frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$-\frac{9}{12}+\frac{10}{12}$$

Since -\frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{-9+10}{12}$$

Add -9 and 10 to get 1.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$