Solve -15/4*12/5*-25/16=

$$\frac { - 15 } { 4 } \cdot \frac { 12 } { 5 } \cdot \frac { - 25 } { 16 } =$$

Evaluate

$$\frac{225}{16}=14.0625$$

Solution Steps

Fraction \frac{-15}{4} can be rewritten as -\frac{15}{4} by extracting the negative sign.

$$-\frac{15}{4}\times \frac{12}{5}\times \frac{-25}{16}$$

Multiply -\frac{15}{4} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-15\times 12}{4\times 5}\times \frac{-25}{16}$$

Do the multiplications in the fraction \frac{-15\times 12}{4\times 5}.

$$\frac{-180}{20}\times \frac{-25}{16}$$

Divide -180 by 20 to get -9.

$$-9\times \frac{-25}{16}$$

Fraction \frac{-25}{16} can be rewritten as -\frac{25}{16} by extracting the negative sign.

$$-9\left(-\frac{25}{16}\right)$$

Express -9\left(-\frac{25}{16}\right) as a single fraction.

$$\frac{-9\left(-25\right)}{16}$$

Multiply -9 and -25 to get 225.

$$\frac{225}{16}$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {2}}{2 ^ {4}} = 14\frac{1}{16} = 14.0625$$