Solve 1-1/3.13^2

$$1- \frac{ 1 }{ { 3.13 }^{ 2 } }$$

Evaluate

$$\frac{87969}{97969}\approx 0.897926895$$

Solution Steps

Calculate 3.13 to the power of 2 and get 9.7969.

$$1-\frac{1}{9.7969}$$

Expand \frac{1}{9.7969} by multiplying both numerator and the denominator by 10000.

$$1-\frac{10000}{97969}$$

Convert 1 to fraction \frac{97969}{97969}.

$$\frac{97969}{97969}-\frac{10000}{97969}$$

Since \frac{97969}{97969} and \frac{10000}{97969} have the same denominator, subtract them by subtracting their numerators.

$$\frac{97969-10000}{97969}$$

Subtract 10000 from 97969 to get 87969.

$$\frac{87969}{97969}$$

Factor

$$\frac{3 \cdot 7 \cdot 59 \cdot 71}{313 ^ {2}} = 0.8979268952423726$$