How to solve (43)/(11)

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)/(11) | Equatix

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Question

$$\frac{ 43 }{ 11 }$$

Evaluate

$\frac{43}{11}\approx 3.909090909$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)43}\\\end{array}$$

Since $4$ is less than $11$, use the next digit $3$ from dividend $43$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)43}\\\end{array}$$

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

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)43}\\\end{array}$$

Find closest multiple of $11$ to $43$. We see that $3 \times 11 = 33$ is the nearest. Now subtract $33$ from $43$ to get reminder $10$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{11)}03\phantom{4}\\11\overline{)43}\\\phantom{11)}\underline{\phantom{}33\phantom{}}\\\phantom{11)}10\\\end{array}$$

Since $10$ is less than $11$, stop the division. The reminder is $10$. The topmost line $03$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{43}{11} = 3\frac{10}{11} = 3.909090909090909$