How to solve 1+(1)/(2+(1)/(2))

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 1+(1)/(2+(1)/(2)) | Equatix

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Question

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

Evaluate

$\frac{7}{5}=1.4$

Solution Steps

Convert $2$ to fraction $\frac{4}{2}$.

$$1+\frac{1}{\frac{4}{2}+\frac{1}{2}}$$

Since $\frac{4}{2}$ and $\frac{1}{2}$ have the same denominator, add them by adding their numerators.

$$1+\frac{1}{\frac{4+1}{2}}$$

Add $4$ and $1$ to get $5$.

$$1+\frac{1}{\frac{5}{2}}$$

Divide $1$ by $\frac{5}{2}$ by multiplying $1$ by the reciprocal of $\frac{5}{2}$.

$$1+1\times \frac{2}{5}$$

Multiply $1$ and $\frac{2}{5}$ to get $\frac{2}{5}$.

$$1+\frac{2}{5}$$

Convert $1$ to fraction $\frac{5}{5}$.

$$\frac{5}{5}+\frac{2}{5}$$

Since $\frac{5}{5}$ and $\frac{2}{5}$ have the same denominator, add them by adding their numerators.

$$\frac{5+2}{5}$$

Add $5$ and $2$ to get $7$.

$$\frac{7}{5}$$

Show Solution

Factor

$\frac{7}{5} = 1\frac{2}{5} = 1.4$