Solve (-9922/23)*(-69)+1.25*(-81/20)*(-2)^3

$$( - 99 \frac { 22 } { 23 } ) \times ( - 69 ) + 1.25 \times ( - \frac { 81 } { 20 } ) \times ( - 2 ) ^ { 3 }$$

Evaluate

$$6937.5$$

Solution Steps

Multiply 99 and 23 to get 2277.

$$\left(-\frac{2277+22}{23}\right)\left(-69\right)+1.25\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Add 2277 and 22 to get 2299.

$$-\frac{2299}{23}\left(-69\right)+1.25\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Express -\frac{2299}{23}\left(-69\right) as a single fraction.

$$\frac{-2299\left(-69\right)}{23}+1.25\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Multiply -2299 and -69 to get 158631.

$$\frac{158631}{23}+1.25\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Divide 158631 by 23 to get 6897.

$$6897+1.25\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

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.

$$6897+\frac{5}{4}\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

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

$$6897+\frac{5\left(-81\right)}{4\times 20}\left(-2\right)^{3}$$

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

$$6897+\frac{-405}{80}\left(-2\right)^{3}$$

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

$$6897-\frac{81}{16}\left(-2\right)^{3}$$

Calculate -2 to the power of 3 and get -8.

$$6897-\frac{81}{16}\left(-8\right)$$

Express -\frac{81}{16}\left(-8\right) as a single fraction.

$$6897+\frac{-81\left(-8\right)}{16}$$

Multiply -81 and -8 to get 648.

$$6897+\frac{648}{16}$$

Reduce the fraction \frac{648}{16} to lowest terms by extracting and canceling out 8.

$$6897+\frac{81}{2}$$

Convert 6897 to fraction \frac{13794}{2}.

$$\frac{13794}{2}+\frac{81}{2}$$

Since \frac{13794}{2} and \frac{81}{2} have the same denominator, add them by adding their numerators.

$$\frac{13794+81}{2}$$

Add 13794 and 81 to get 13875.

$$\frac{13875}{2}$$

Factor

$$\frac{3 \cdot 37 \cdot 5 ^ {3}}{2} = 6937\frac{1}{2} = 6937.5$$