Solve 1/0.2(-3(9.025013)+4(11.02318)-16.44465)

$$\frac{ 1 }{ 0.2 } (-3(9.025013)+4(11.02318)-16.44465)$$

Evaluate

$$2.865155$$

Solution Steps

Expand \frac{1}{0.2} by multiplying both numerator and the denominator by 10.

$$\frac{10}{2}\left(-3\times 9.025013+4\times 11.02318-16.44465\right)$$

Divide 10 by 2 to get 5.

$$5\left(-3\times 9.025013+4\times 11.02318-16.44465\right)$$

Multiply -3 and 9.025013 to get -27.075039.

$$5\left(-27.075039+4\times 11.02318-16.44465\right)$$

Multiply 4 and 11.02318 to get 44.09272.

$$5\left(-27.075039+44.09272-16.44465\right)$$

Add -27.075039 and 44.09272 to get 17.017681.

$$5\left(17.017681-16.44465\right)$$

Subtract 16.44465 from 17.017681 to get 0.573031.

$$5\times 0.573031$$

Multiply 5 and 0.573031 to get 2.865155.

$$2.865155$$

Factor

$$\frac{573031}{2 ^ {6} \cdot 5 ^ {5}} = 2\frac{173031}{200000} = 2.865155$$