Solve 7*150*35+7*69*(7+12+35)*2+7*200*(7+12+7+100)*2/7*150+7*69*2+7*200*2

$$\frac { 7 \times 150 \times 35 + 7 \times 69 \times ( 7 + 12 + 35 ) \times 2 + 7 \times 200 \times ( 7 + 12 + 7 + 100 ) \times 2 } { 7 \times 150 + 7 \times 69 \times 2 + 7 \times 200 \times 2 }$$

Evaluate

$$\frac{31551}{344}\approx 91.718023256$$

Solution Steps

Multiply 7 and 150 to get 1050. Multiply 7 and 69 to get 483. Multiply 7 and 200 to get 1400.

$$\frac{1050\times 35+483\left(7+12+35\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiply 1050 and 35 to get 36750.

$$\frac{36750+483\left(7+12+35\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Add 7 and 12 to get 19.

$$\frac{36750+483\left(19+35\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Add 19 and 35 to get 54.

$$\frac{36750+483\times 54\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiply 483 and 54 to get 26082.

$$\frac{36750+26082\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiply 26082 and 2 to get 52164.

$$\frac{36750+52164+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Add 36750 and 52164 to get 88914.

$$\frac{88914+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Add 7 and 12 to get 19.

$$\frac{88914+1400\left(19+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Add 19 and 7 to get 26.

$$\frac{88914+1400\left(26+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Add 26 and 100 to get 126.

$$\frac{88914+1400\times 126\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiply 1400 and 126 to get 176400.

$$\frac{88914+176400\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiply 176400 and 2 to get 352800.

$$\frac{88914+352800}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Add 88914 and 352800 to get 441714.

$$\frac{441714}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Multiply 7 and 150 to get 1050. Multiply 7 and 69 to get 483. Multiply 7 and 200 to get 1400.

$$\frac{441714}{1050+483\times 2+1400\times 2}$$

Multiply 483 and 2 to get 966.

$$\frac{441714}{1050+966+1400\times 2}$$

Add 1050 and 966 to get 2016.

$$\frac{441714}{2016+1400\times 2}$$

Multiply 1400 and 2 to get 2800.

$$\frac{441714}{2016+2800}$$

Add 2016 and 2800 to get 4816.

$$\frac{441714}{4816}$$

Reduce the fraction \frac{441714}{4816} to lowest terms by extracting and canceling out 14.

$$\frac{31551}{344}$$

Factor

$$\frac{3 \cdot 13 \cdot 809}{2 ^ {3} \cdot 43} = 91\frac{247}{344} = 91.71802325581395$$