How to solve (32)/(12)

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 (32)/(12) | Equatix

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Question

$$\frac{ 32 }{ 12 }$$

Evaluate

$\frac{8}{3}\approx 2.666666667$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $32$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)32}\\\end{array}$$

Since $3$ is less than $12$, use the next digit $2$ from dividend $32$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)32}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $32$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)32}\\\end{array}$$

Find closest multiple of $12$ to $32$. We see that $2 \times 12 = 24$ is the nearest. Now subtract $24$ from $32$ to get reminder $8$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)32}\\\phantom{12)}\underline{\phantom{}24\phantom{}}\\\phantom{12)9}8\\\end{array}$$

Since $8$ is less than $12$, stop the division. The reminder is $8$. The topmost line $02$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }8$$

Show Solution

Factor

$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$