Solve 1/1000left(0.15*2000000+500000left(0.25*0.3+0.75*0.23right)right)

$$\frac{ 1 }{ 1000 } \left( 0.15 \cdot 2000000+500000 \left( 0.25 \cdot 0.3+0.75 \cdot 0.23 \right) \right)$$

Evaluate

$$423.75$$

Solution Steps

Multiply 0.15 and 2000000 to get 300000.

$$\frac{1}{1000}\left(300000+500000\left(0.25\times 0.3+0.75\times 0.23\right)\right)$$

Multiply 0.25 and 0.3 to get 0.075.

$$\frac{1}{1000}\left(300000+500000\left(0.075+0.75\times 0.23\right)\right)$$

Multiply 0.75 and 0.23 to get 0.1725.

$$\frac{1}{1000}\left(300000+500000\left(0.075+0.1725\right)\right)$$

Add 0.075 and 0.1725 to get 0.2475.

$$\frac{1}{1000}\left(300000+500000\times 0.2475\right)$$

Multiply 500000 and 0.2475 to get 123750.

$$\frac{1}{1000}\left(300000+123750\right)$$

Add 300000 and 123750 to get 423750.

$$\frac{1}{1000}\times 423750$$

Multiply \frac{1}{1000} and 423750 to get \frac{423750}{1000}.

$$\frac{423750}{1000}$$

Reduce the fraction \frac{423750}{1000} to lowest terms by extracting and canceling out 250.

$$\frac{1695}{4}$$

Factor

$$\frac{3 \cdot 5 \cdot 113}{2 ^ {2}} = 423\frac{3}{4} = 423.75$$