Solve 1/1+frac{1{t^2}}

$$\frac { 1 } { 1 + \frac { 1 } { t ^ { 2 } } }$$

Evaluate

$$\frac{t^{2}}{t^{2}+1}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{t^{2}}{t^{2}}.

$$\frac{1}{\frac{t^{2}}{t^{2}}+\frac{1}{t^{2}}}$$

Since \frac{t^{2}}{t^{2}} and \frac{1}{t^{2}} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{t^{2}+1}{t^{2}}}$$

Divide 1 by \frac{t^{2}+1}{t^{2}} by multiplying 1 by the reciprocal of \frac{t^{2}+1}{t^{2}}.

$$\frac{t^{2}}{t^{2}+1}$$

Factor

$$\frac{t^{2}}{t^{2}+1}$$