Solve {left(3960/3960+100right)}^2*130

$${ \left( \frac{ 3960 }{ 3960+100 } \right) }^{ 2 } \times 130$$

Evaluate

$$\frac{5096520}{41209}\approx 123.67492538$$

Solution Steps

Add 3960 and 100 to get 4060.

$$\left(\frac{3960}{4060}\right)^{2}\times 130$$

Reduce the fraction \frac{3960}{4060} to lowest terms by extracting and canceling out 20.

$$\left(\frac{198}{203}\right)^{2}\times 130$$

Calculate \frac{198}{203} to the power of 2 and get \frac{39204}{41209}.

$$\frac{39204}{41209}\times 130$$

Multiply \frac{39204}{41209} and 130 to get \frac{5096520}{41209}.

$$\frac{5096520}{41209}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {4} \cdot 5 \cdot 11 ^ {2} \cdot 13}{7 ^ {2} \cdot 29 ^ {2}} = 123\frac{27813}{41209} = 123.67492538037807$$