Solve 1/9*1.118^2

$$\frac{ 1 }{ 9 } \times { 1.118 }^{ 2 }$$

Evaluate

$$\frac{312481}{2250000}\approx 0.138880444$$

Solution Steps

Calculate 1.118 to the power of 2 and get 1.249924.

$$\frac{1}{9}\times 1.249924$$

Convert decimal number 1.249924 to fraction \frac{1249924}{1000000}. Reduce the fraction \frac{1249924}{1000000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{9}\times \frac{312481}{250000}$$

Multiply \frac{1}{9} times \frac{312481}{250000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 312481}{9\times 250000}$$

Do the multiplications in the fraction \frac{1\times 312481}{9\times 250000}.

$$\frac{312481}{2250000}$$

Factor

$$\frac{13 ^ {2} \cdot 43 ^ {2}}{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {6}} = 0.13888044444444445$$