How to solve (269)/(28)

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 (269)/(28) | Equatix

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Question

$$\frac{ 269 }{ 28 }$$

Evaluate

$\frac{269}{28}\approx 9.607142857$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $269$

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)269}\\\end{array}$$

Since $2$ is less than $28$, use the next digit $6$ from dividend $269$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)269}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $269$

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)269}\\\end{array}$$

Since $26$ is less than $28$, use the next digit $9$ from dividend $269$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)269}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $269$

$$\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)269}\\\end{array}$$

Find closest multiple of $28$ to $269$. We see that $9 \times 28 = 252$ is the nearest. Now subtract $252$ from $269$ to get reminder $17$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{28)}009\phantom{6}\\28\overline{)269}\\\phantom{28)}\underline{\phantom{}252\phantom{}}\\\phantom{28)9}17\\\end{array}$$

Since $17$ is less than $28$, stop the division. The reminder is $17$. The topmost line $009$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $9$.

$$\text{Quotient: }9$$ $$\text{Reminder: }17$$

Show Solution

Factor

$\frac{269}{2 ^ {2} \cdot 7} = 9\frac{17}{28} = 9.607142857142858$