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

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

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

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

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

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

$$\frac{-16}{15}\left(-\frac{5}{4}\right)$$

Fraction \frac{-16}{15} can be rewritten as -\frac{16}{15} by extracting the negative sign.

$$-\frac{16}{15}\left(-\frac{5}{4}\right)$$

Multiply -\frac{16}{15} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16\left(-5\right)}{15\times 4}$$

Do the multiplications in the fraction \frac{-16\left(-5\right)}{15\times 4}.

$$\frac{80}{60}$$

Reduce the fraction \frac{80}{60} to lowest terms by extracting and canceling out 20.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$