How to solve (229)/(54)

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 (229)/(54) | Equatix

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Question

$$\frac{ 229 }{ 54 }$$

Evaluate

$\frac{229}{54}\approx 4.240740741$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $229$

$$\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)229}\\\end{array}$$

Since $2$ is less than $54$, use the next digit $2$ from dividend $229$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)229}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $229$

$$\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)229}\\\end{array}$$

Since $22$ is less than $54$, use the next digit $9$ from dividend $229$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)229}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $229$

$$\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)229}\\\end{array}$$

Find closest multiple of $54$ to $229$. We see that $4 \times 54 = 216$ is the nearest. Now subtract $216$ from $229$ to get reminder $13$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{54)}004\phantom{6}\\54\overline{)229}\\\phantom{54)}\underline{\phantom{}216\phantom{}}\\\phantom{54)9}13\\\end{array}$$

Since $13$ is less than $54$, stop the division. The reminder is $13$. The topmost line $004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4$.

$$\text{Quotient: }4$$ $$\text{Reminder: }13$$

Show Solution

Factor

$\frac{229}{2 \cdot 3 ^ {3}} = 4\frac{13}{54} = 4.2407407407407405$