Solve 2500*1.29^2*0.25/2499*0.04^2+1.29^2*0.25

$$\frac{ 2500 \times { 1.29 }^{ 2 } \cdot 0.25 }{ 2499 \cdot { 0.04 }^{ 2 } + { 1.29 }^{ 2 } \cdot 0.25 }$$

Evaluate

$$\frac{13867500}{58859}\approx 235.605429926$$

Solution Steps

Calculate 1.29 to the power of 2 and get 1.6641.

$$\frac{2500\times 1.6641\times 0.25}{2499\times 0.04^{2}+1.29^{2}\times 0.25}$$

Multiply 2500 and 1.6641 to get 4160.25.

$$\frac{4160.25\times 0.25}{2499\times 0.04^{2}+1.29^{2}\times 0.25}$$

Multiply 4160.25 and 0.25 to get 1040.0625.

$$\frac{1040.0625}{2499\times 0.04^{2}+1.29^{2}\times 0.25}$$

Calculate 0.04 to the power of 2 and get 0.0016.

$$\frac{1040.0625}{2499\times 0.0016+1.29^{2}\times 0.25}$$

Multiply 2499 and 0.0016 to get 3.9984.

$$\frac{1040.0625}{3.9984+1.29^{2}\times 0.25}$$

Calculate 1.29 to the power of 2 and get 1.6641.

$$\frac{1040.0625}{3.9984+1.6641\times 0.25}$$

Multiply 1.6641 and 0.25 to get 0.416025.

$$\frac{1040.0625}{3.9984+0.416025}$$

Add 3.9984 and 0.416025 to get 4.414425.

$$\frac{1040.0625}{4.414425}$$

Expand \frac{1040.0625}{4.414425} by multiplying both numerator and the denominator by 1000000.

$$\frac{1040062500}{4414425}$$

Reduce the fraction \frac{1040062500}{4414425} to lowest terms by extracting and canceling out 75.

$$\frac{13867500}{58859}$$

Factor

$$\frac{3 \cdot 2 ^ {2} \cdot 5 ^ {4} \cdot 43 ^ {2}}{71 \cdot 829} = 235\frac{35635}{58859} = 235.60542992575478$$