How to solve 5 - 1/1/(4 - 1/8)

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 5 - 1/1/(4 - 1/8) | Equatix

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Question

$$5-\frac{\frac{1}{1}}{4-\frac{1}{8}}$$

Evaluate

$\frac{147}{31}\approx 4.741935484$

Solution Steps

Divide $1$ by $1$ to get $1$.

$$5-\frac{1}{4-\frac{1}{8}}$$

Convert $4$ to fraction $\frac{32}{8}$.

$$5-\frac{1}{\frac{32}{8}-\frac{1}{8}}$$

Since $\frac{32}{8}$ and $\frac{1}{8}$ have the same denominator, subtract them by subtracting their numerators.

$$5-\frac{1}{\frac{32-1}{8}}$$

Subtract $1$ from $32$ to get $31$.

$$5-\frac{1}{\frac{31}{8}}$$

Divide $1$ by $\frac{31}{8}$ by multiplying $1$ by the reciprocal of $\frac{31}{8}$.

$$5-1\times \frac{8}{31}$$

Multiply $1$ and $\frac{8}{31}$ to get $\frac{8}{31}$.

$$5-\frac{8}{31}$$

Convert $5$ to fraction $\frac{155}{31}$.

$$\frac{155}{31}-\frac{8}{31}$$

Since $\frac{155}{31}$ and $\frac{8}{31}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{155-8}{31}$$

Subtract $8$ from $155$ to get $147$.

$$\frac{147}{31}$$

Show Solution

Factor

$\frac{3 \cdot 7 ^ {2}}{31} = 4\frac{23}{31} = 4.741935483870968$