How to solve (100)/(33)

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 (100)/(33) | Equatix

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Question

$$\frac{ 100 }{ 33 }$$

Evaluate

$\frac{100}{33}\approx 3.03030303$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $100$

$$\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)100}\\\end{array}$$

Since $1$ is less than $33$, use the next digit $0$ from dividend $100$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)100}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $100$

$$\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)100}\\\end{array}$$

Since $10$ is less than $33$, use the next digit $0$ from dividend $100$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{33)}00\phantom{4}\\33\overline{)100}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $100$

$$\begin{array}{l}\phantom{33)}00\phantom{5}\\33\overline{)100}\\\end{array}$$

Find closest multiple of $33$ to $100$. We see that $3 \times 33 = 99$ is the nearest. Now subtract $99$ from $100$ to get reminder $1$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{33)}003\phantom{6}\\33\overline{)100}\\\phantom{33)}\underline{\phantom{9}99\phantom{}}\\\phantom{33)99}1\\\end{array}$$

Since $1$ is less than $33$, stop the division. The reminder is $1$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }1$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 \cdot 11} = 3\frac{1}{33} = 3.0303030303030303$