Solve 1-119^2/169^2

$$1- \frac{ { 119 }^{ 2 } }{ { 169 }^{ 2 } }$$

Evaluate

$$\frac{14400}{28561}\approx 0.504184027$$

Solution Steps

Calculate 119 to the power of 2 and get 14161.

$$1-\frac{14161}{169^{2}}$$

Calculate 169 to the power of 2 and get 28561.

$$1-\frac{14161}{28561}$$

Convert 1 to fraction \frac{28561}{28561}.

$$\frac{28561}{28561}-\frac{14161}{28561}$$

Since \frac{28561}{28561} and \frac{14161}{28561} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28561-14161}{28561}$$

Subtract 14161 from 28561 to get 14400.

$$\frac{14400}{28561}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2} \cdot 5 ^ {2}}{13 ^ {4}} = 0.5041840271699171$$