Solve 11*13467-440*330/11*17986-440^2

$$\frac{ 11 \times 13467-440 \times 330 }{ 11 \times 17986- { 440 }^{ 2 } }$$

Evaluate

$$\frac{267}{386}\approx 0.691709845$$

Solution Steps

Multiply 11 and 13467 to get 148137.

$$\frac{148137-440\times 330}{11\times 17986-440^{2}}$$

Multiply 440 and 330 to get 145200.

$$\frac{148137-145200}{11\times 17986-440^{2}}$$

Subtract 145200 from 148137 to get 2937.

$$\frac{2937}{11\times 17986-440^{2}}$$

Multiply 11 and 17986 to get 197846.

$$\frac{2937}{197846-440^{2}}$$

Calculate 440 to the power of 2 and get 193600.

$$\frac{2937}{197846-193600}$$

Subtract 193600 from 197846 to get 4246.

$$\frac{2937}{4246}$$

Reduce the fraction \frac{2937}{4246} to lowest terms by extracting and canceling out 11.

$$\frac{267}{386}$$

Factor

$$\frac{3 \cdot 89}{2 \cdot 193} = 0.6917098445595855$$