Solve 1240*left(228*737-143*132right)^2/371*869*360*880

$$\frac{ 1240 \times { \left(228 \times 737-143 \times 132 \right) }^{ 2 } }{ 371 \times 869 \times 360 \times 880 }$$

Evaluate

$$\frac{7916780}{29309}\approx 270.114299362$$

Solution Steps

Cancel out 40 in both numerator and denominator.

$$\frac{31\left(228\times 737-132\times 143\right)^{2}}{9\times 371\times 869\times 880}$$

Multiply 228 and 737 to get 168036.

$$\frac{31\left(168036-132\times 143\right)^{2}}{9\times 371\times 869\times 880}$$

Multiply 132 and 143 to get 18876.

$$\frac{31\left(168036-18876\right)^{2}}{9\times 371\times 869\times 880}$$

Subtract 18876 from 168036 to get 149160.

$$\frac{31\times 149160^{2}}{9\times 371\times 869\times 880}$$

Calculate 149160 to the power of 2 and get 22248705600.

$$\frac{31\times 22248705600}{9\times 371\times 869\times 880}$$

Multiply 31 and 22248705600 to get 689709873600.

$$\frac{689709873600}{9\times 371\times 869\times 880}$$

Multiply 9 and 371 to get 3339.

$$\frac{689709873600}{3339\times 869\times 880}$$

Multiply 3339 and 869 to get 2901591.

$$\frac{689709873600}{2901591\times 880}$$

Multiply 2901591 and 880 to get 2553400080.

$$\frac{689709873600}{2553400080}$$

Reduce the fraction \frac{689709873600}{2553400080} to lowest terms by extracting and canceling out 87120.

$$\frac{7916780}{29309}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 31 \cdot 113 ^ {2}}{7 \cdot 53 \cdot 79} = 270\frac{3350}{29309} = 270.1142993619707$$