How to solve 1311/920

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 1311/920 | Equatix

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Question

$$1311/920$$

Evaluate

$\frac{57}{40}=1.425$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1311$

$$\begin{array}{l}\phantom{920)}\phantom{1}\\920\overline{)1311}\\\end{array}$$

Since $1$ is less than $920$, use the next digit $3$ from dividend $1311$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{920)}0\phantom{2}\\920\overline{)1311}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $1311$

$$\begin{array}{l}\phantom{920)}0\phantom{3}\\920\overline{)1311}\\\end{array}$$

Since $13$ is less than $920$, use the next digit $1$ from dividend $1311$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{920)}00\phantom{4}\\920\overline{)1311}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $1311$

$$\begin{array}{l}\phantom{920)}00\phantom{5}\\920\overline{)1311}\\\end{array}$$

Since $131$ is less than $920$, use the next digit $1$ from dividend $1311$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{920)}000\phantom{6}\\920\overline{)1311}\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $1311$

$$\begin{array}{l}\phantom{920)}000\phantom{7}\\920\overline{)1311}\\\end{array}$$

Find closest multiple of $920$ to $1311$. We see that $1 \times 920 = 920$ is the nearest. Now subtract $920$ from $1311$ to get reminder $391$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{920)}0001\phantom{8}\\920\overline{)1311}\\\phantom{920)}\underline{\phantom{9}920\phantom{}}\\\phantom{920)9}391\\\end{array}$$

Since $391$ is less than $920$, stop the division. The reminder is $391$. The topmost line $0001$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }391$$

Show Solution

Factor

$\frac{3 \cdot 19}{2 ^ {3} \cdot 5} = 1\frac{17}{40} = 1.425$