Solve 90+13*9+103/2*9-97.5-0.5*9+97/2*9

$$\frac{ 90+13 \times 9+103 }{ 2 } \times 9- \frac{ 97.5-0.5 \times 9+97 }{ 2 } \times 9$$

Evaluate

$$540$$

Solution Steps

Multiply 13 and 9 to get 117.

$$\frac{90+117+103}{2}\times 9-\frac{97.5-0.5\times 9+97}{2}\times 9$$

Add 90 and 117 to get 207.

$$\frac{207+103}{2}\times 9-\frac{97.5-0.5\times 9+97}{2}\times 9$$

Add 207 and 103 to get 310.

$$\frac{310}{2}\times 9-\frac{97.5-0.5\times 9+97}{2}\times 9$$

Divide 310 by 2 to get 155.

$$155\times 9-\frac{97.5-0.5\times 9+97}{2}\times 9$$

Multiply 155 and 9 to get 1395.

$$1395-\frac{97.5-0.5\times 9+97}{2}\times 9$$

Multiply 0.5 and 9 to get 4.5.

$$1395-\frac{97.5-4.5+97}{2}\times 9$$

Subtract 4.5 from 97.5 to get 93.

$$1395-\frac{93+97}{2}\times 9$$

Add 93 and 97 to get 190.

$$1395-\frac{190}{2}\times 9$$

Divide 190 by 2 to get 95.

$$1395-95\times 9$$

Multiply 95 and 9 to get 855.

$$1395-855$$

Subtract 855 from 1395 to get 540.

$$540$$

Factor

$$5\times 2^{2}\times 3^{3}$$