Solve 1000*700*350+350*600*300+350*600*300/1000*700+350*600+350*600

$$\frac{ 1000 \times 700 \times 350+350 \times 600 \times 300+350 \times 600 \times 300 }{ 1000 \times 700+350 \times 600+350 \times 600 }$$

Evaluate

$$\frac{1325}{4}=331.25$$

Solution Steps

Multiply 1000 and 700 to get 700000. Multiply 350 and 600 to get 210000. Multiply 350 and 600 to get 210000.

$$\frac{700000\times 350+210000\times 300+210000\times 300}{1000\times 700+350\times 600+350\times 600}$$

Multiply 700000 and 350 to get 245000000.

$$\frac{245000000+210000\times 300+210000\times 300}{1000\times 700+350\times 600+350\times 600}$$

Multiply 210000 and 300 to get 63000000.

$$\frac{245000000+63000000+210000\times 300}{1000\times 700+350\times 600+350\times 600}$$

Add 245000000 and 63000000 to get 308000000.

$$\frac{308000000+210000\times 300}{1000\times 700+350\times 600+350\times 600}$$

Multiply 210000 and 300 to get 63000000.

$$\frac{308000000+63000000}{1000\times 700+350\times 600+350\times 600}$$

Add 308000000 and 63000000 to get 371000000.

$$\frac{371000000}{1000\times 700+350\times 600+350\times 600}$$

Multiply 1000 and 700 to get 700000. Multiply 350 and 600 to get 210000. Multiply 350 and 600 to get 210000.

$$\frac{371000000}{700000+210000+210000}$$

Add 700000 and 210000 to get 910000.

$$\frac{371000000}{910000+210000}$$

Add 910000 and 210000 to get 1120000.

$$\frac{371000000}{1120000}$$

Reduce the fraction \frac{371000000}{1120000} to lowest terms by extracting and canceling out 280000.

$$\frac{1325}{4}$$

Factor

$$\frac{5 ^ {2} \cdot 53}{2 ^ {2}} = 331\frac{1}{4} = 331.25$$