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

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

Evaluate

$$2t+3+\frac{1}{t}$$

Short Solution Steps

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

$$\frac{\left(2t+1\right)\left(1+t\right)}{t}$$

Apply the distributive property by multiplying each term of 2t+1 by each term of 1+t.

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

Combine 2t and t to get 3t.

$$\frac{3t+2t^{2}+1}{t}$$

Expand

$$2t+3+\frac{1}{t}$$

Short Solution Steps

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

$$\frac{\left(2t+1\right)\left(1+t\right)}{t}$$

Apply the distributive property by multiplying each term of 2t+1 by each term of 1+t.

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

Combine 2t and t to get 3t.

$$\frac{3t+2t^{2}+1}{t}$$