Solve (-41/20)*1.25*(-16)

$$( - 4 \frac { 1 } { 20 } ) \times 1.25 \times ( - 16 )$$

Evaluate

$$81$$

Solution Steps

Multiply 4 and 20 to get 80.

$$\left(-\frac{80+1}{20}\right)\times 1.25\left(-16\right)$$

Add 80 and 1 to get 81.

$$-\frac{81}{20}\times 1.25\left(-16\right)$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{81}{20}\times \frac{5}{4}\left(-16\right)$$

Multiply -\frac{81}{20} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-81\times 5}{20\times 4}\left(-16\right)$$

Do the multiplications in the fraction \frac{-81\times 5}{20\times 4}.

$$\frac{-405}{80}\left(-16\right)$$

Reduce the fraction \frac{-405}{80} to lowest terms by extracting and canceling out 5.

$$-\frac{81}{16}\left(-16\right)$$

Express -\frac{81}{16}\left(-16\right) as a single fraction.

$$\frac{-81\left(-16\right)}{16}$$

Multiply -81 and -16 to get 1296.

$$\frac{1296}{16}$$

Divide 1296 by 16 to get 81.

$$81$$

Factor

$$3^{4}$$