Solve (-9922/23)*(-69)+125*(-81/20)*(-2)^3

$$( - 99 \frac { 22 } { 23 } ) \times ( - 69 ) + 125 \times ( - \frac { 81 } { 20 } ) \times ( - 2 ) ^ { 3 }$$

Evaluate

$$10947$$

Solution Steps

Multiply 99 and 23 to get 2277.

$$\left(-\frac{2277+22}{23}\right)\left(-69\right)+125\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Add 2277 and 22 to get 2299.

$$-\frac{2299}{23}\left(-69\right)+125\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

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

$$\frac{-2299\left(-69\right)}{23}+125\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Multiply -2299 and -69 to get 158631.

$$\frac{158631}{23}+125\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Divide 158631 by 23 to get 6897.

$$6897+125\left(-\frac{81}{20}\right)\left(-2\right)^{3}$$

Express 125\left(-\frac{81}{20}\right) as a single fraction.

$$6897+\frac{125\left(-81\right)}{20}\left(-2\right)^{3}$$

Multiply 125 and -81 to get -10125.

$$6897+\frac{-10125}{20}\left(-2\right)^{3}$$

Reduce the fraction \frac{-10125}{20} to lowest terms by extracting and canceling out 5.

$$6897-\frac{2025}{4}\left(-2\right)^{3}$$

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

$$6897-\frac{2025}{4}\left(-8\right)$$

Express -\frac{2025}{4}\left(-8\right) as a single fraction.

$$6897+\frac{-2025\left(-8\right)}{4}$$

Multiply -2025 and -8 to get 16200.

$$6897+\frac{16200}{4}$$

Divide 16200 by 4 to get 4050.

$$6897+4050$$

Add 6897 and 4050 to get 10947.

$$10947$$

Factor

$$3\times 41\times 89$$