Solve 100-120^2/13^2

$$100- \frac{ { 120 }^{ 2 } }{ { 13 }^{ 2 } }$$

Evaluate

$$\frac{2500}{169}\approx 14.792899408$$

Solution Steps

Calculate 120 to the power of 2 and get 14400.

$$100-\frac{14400}{13^{2}}$$

Calculate 13 to the power of 2 and get 169.

$$100-\frac{14400}{169}$$

Convert 100 to fraction \frac{16900}{169}.

$$\frac{16900}{169}-\frac{14400}{169}$$

Since \frac{16900}{169} and \frac{14400}{169} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16900-14400}{169}$$

Subtract 14400 from 16900 to get 2500.

$$\frac{2500}{169}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {4}}{13 ^ {2}} = 14\frac{134}{169} = 14.792899408284024$$