How to solve (1100)/(300)

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 (1100)/(300) | Equatix

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Question

$$\frac{ 1100 }{ 300 }$$

Evaluate

$\frac{11}{3}\approx 3.666666667$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1100$

$$\begin{array}{l}\phantom{300)}\phantom{1}\\300\overline{)1100}\\\end{array}$$

Since $1$ is less than $300$, use the next digit $1$ from dividend $1100$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{300)}0\phantom{2}\\300\overline{)1100}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $1100$

$$\begin{array}{l}\phantom{300)}0\phantom{3}\\300\overline{)1100}\\\end{array}$$

Since $11$ is less than $300$, use the next digit $0$ from dividend $1100$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{300)}00\phantom{4}\\300\overline{)1100}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $1100$

$$\begin{array}{l}\phantom{300)}00\phantom{5}\\300\overline{)1100}\\\end{array}$$

Since $110$ is less than $300$, use the next digit $0$ from dividend $1100$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{300)}000\phantom{6}\\300\overline{)1100}\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $1100$

$$\begin{array}{l}\phantom{300)}000\phantom{7}\\300\overline{)1100}\\\end{array}$$

Find closest multiple of $300$ to $1100$. We see that $3 \times 300 = 900$ is the nearest. Now subtract $900$ from $1100$ to get reminder $200$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{300)}0003\phantom{8}\\300\overline{)1100}\\\phantom{300)}\underline{\phantom{9}900\phantom{}}\\\phantom{300)9}200\\\end{array}$$

Since $200$ is less than $300$, stop the division. The reminder is $200$. The topmost line $0003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }200$$

Show Solution

Factor

$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$