Solve 1-1/3.25^2

$$1- \frac{ 1 }{ { 3.25 }^{ 2 } }$$

Evaluate

$$\frac{153}{169}\approx 0.905325444$$

Solution Steps

Calculate 3.25 to the power of 2 and get 10.5625.

$$1-\frac{1}{10.5625}$$

Expand \frac{1}{10.5625} by multiplying both numerator and the denominator by 10000.

$$1-\frac{10000}{105625}$$

Reduce the fraction \frac{10000}{105625} to lowest terms by extracting and canceling out 625.

$$1-\frac{16}{169}$$

Convert 1 to fraction \frac{169}{169}.

$$\frac{169}{169}-\frac{16}{169}$$

Since \frac{169}{169} and \frac{16}{169} have the same denominator, subtract them by subtracting their numerators.

$$\frac{169-16}{169}$$

Subtract 16 from 169 to get 153.

$$\frac{153}{169}$$

Factor

$$\frac{17 \cdot 3 ^ {2}}{13 ^ {2}} = 0.9053254437869822$$