Solve frac{1/frac{5{4}}}{-4/3/3}

$$\frac { \frac { 1 } { \frac { 5 } { 4 } } } { \frac { - \frac { 4 } { 3 } } { 3 } }$$

Evaluate

$$-\frac{9}{5}=-1.8$$

Solution Steps

Divide \frac{1}{\frac{5}{4}} by \frac{-\frac{4}{3}}{3} by multiplying \frac{1}{\frac{5}{4}} by the reciprocal of \frac{-\frac{4}{3}}{3}.

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

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

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

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

$$\frac{3}{\frac{-20}{12}}$$

Reduce the fraction \frac{-20}{12} to lowest terms by extracting and canceling out 4.

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

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

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

Express 3\left(-\frac{3}{5}\right) as a single fraction.

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

Multiply 3 and -3 to get -9.

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

Fraction \frac{-9}{5} can be rewritten as -\frac{9}{5} by extracting the negative sign.

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

Factor

$$-\frac{9}{5} = -1\frac{4}{5} = -1.8$$