Solve (33000*10000*(128.5+51*200))div(33000+10000*(128.5+51*200))=

$$(33000 \times 10000 \times (128.5+51 \times 200)) \div (33000+10000 \times (128.5+51 \times 200))=$$

Evaluate

$$\frac{1704202500}{51659}\approx 32989.459726282$$

Solution Steps

Multiply 33000 and 10000 to get 330000000.

$$\frac{330000000\left(128.5+51\times 200\right)}{33000+10000\left(128.5+51\times 200\right)}$$

Multiply 51 and 200 to get 10200.

$$\frac{330000000\left(128.5+10200\right)}{33000+10000\left(128.5+51\times 200\right)}$$

Add 128.5 and 10200 to get 10328.5.

$$\frac{330000000\times 10328.5}{33000+10000\left(128.5+51\times 200\right)}$$

Multiply 330000000 and 10328.5 to get 3408405000000.

$$\frac{3408405000000}{33000+10000\left(128.5+51\times 200\right)}$$

Multiply 51 and 200 to get 10200.

$$\frac{3408405000000}{33000+10000\left(128.5+10200\right)}$$

Add 128.5 and 10200 to get 10328.5.

$$\frac{3408405000000}{33000+10000\times 10328.5}$$

Multiply 10000 and 10328.5 to get 103285000.

$$\frac{3408405000000}{33000+103285000}$$

Add 33000 and 103285000 to get 103318000.

$$\frac{3408405000000}{103318000}$$

Reduce the fraction \frac{3408405000000}{103318000} to lowest terms by extracting and canceling out 2000.

$$\frac{1704202500}{51659}$$

Factor

$$\frac{3 \cdot 7 \cdot 11 \cdot 13 \cdot 227 \cdot 2 ^ {2} \cdot 5 ^ {4}}{51659} = 32989\frac{23749}{51659} = 32989.459726281966$$