How to solve (43)/(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 (43)/(12) | Equatix

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Question

$$\frac{ 43 }{ 12 }$$

Evaluate

$\frac{43}{12}\approx 3.583333333$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $43$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)43}\\\end{array}$$

Since $4$ is less than $12$, use the next digit $3$ from dividend $43$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)43}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $43$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)43}\\\end{array}$$

Find closest multiple of $12$ to $43$. We see that $3 \times 12 = 36$ is the nearest. Now subtract $36$ from $43$ to get reminder $7$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{12)}03\phantom{4}\\12\overline{)43}\\\phantom{12)}\underline{\phantom{}36\phantom{}}\\\phantom{12)9}7\\\end{array}$$

Since $7$ is less than $12$, stop the division. The reminder is $7$. The topmost line $03$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }7$$

Show Solution

Factor

$\frac{43}{2 ^ {2} \cdot 3} = 3\frac{7}{12} = 3.5833333333333335$