Solve (4000*0.0157)^2/4000^2+4764.76

$$\frac { ( 4000 \times 0.0157 ) ^ { 2 } } { 4000 ^ { 2 } + 4764.76 }$$

Evaluate

$$\frac{98596}{400119119}\approx 0.000246417$$

Solution Steps

Multiply 4000 and 0.0157 to get 62.8.

$$\frac{62.8^{2}}{4000^{2}+4764.76}$$

Calculate 62.8 to the power of 2 and get 3943.84.

$$\frac{3943.84}{4000^{2}+4764.76}$$

Calculate 4000 to the power of 2 and get 16000000.

$$\frac{3943.84}{16000000+4764.76}$$

Add 16000000 and 4764.76 to get 16004764.76.

$$\frac{3943.84}{16004764.76}$$

Expand \frac{3943.84}{16004764.76} by multiplying both numerator and the denominator by 100.

$$\frac{394384}{1600476476}$$

Reduce the fraction \frac{394384}{1600476476} to lowest terms by extracting and canceling out 4.

$$\frac{98596}{400119119}$$

Factor

$$\frac{2 ^ {2} \cdot 157 ^ {2}}{19 \cdot 29 \cdot 726169} = 0.0002464166177472764$$