Solve -(4000/9*10*5)*10*5^-2+4

$$- ( \frac { 4000 } { 9 \times 10 \cdot 5 } ) \times 10 \cdot 5 ^ { - 2 } + 4$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Multiply 9 and 10 to get 90.

$$\left(-\frac{4000}{90\times 5}\right)\times 10\times 5^{-2}+4$$

Multiply 90 and 5 to get 450.

$$\left(-\frac{4000}{450}\right)\times 10\times 5^{-2}+4$$

Reduce the fraction \frac{4000}{450} to lowest terms by extracting and canceling out 50.

$$-\frac{80}{9}\times 10\times 5^{-2}+4$$

Multiply -\frac{80}{9} and 10 to get -\frac{800}{9}.

$$-\frac{800}{9}\times 5^{-2}+4$$

Calculate 5 to the power of -2 and get \frac{1}{25}.

$$-\frac{800}{9}\times \frac{1}{25}+4$$

Multiply -\frac{800}{9} and \frac{1}{25} to get -\frac{32}{9}.

$$-\frac{32}{9}+4$$

Add -\frac{32}{9} and 4 to get \frac{4}{9}.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$