How to solve (1546)/(495)

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 (1546)/(495) | Equatix

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Question

$$\frac{ 1546 }{ 495 }$$

Evaluate

$\frac{1546}{495}\approx 3.123232323$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1546$

$$\begin{array}{l}\phantom{495)}\phantom{1}\\495\overline{)1546}\\\end{array}$$

Since $1$ is less than $495$, use the next digit $5$ from dividend $1546$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{495)}0\phantom{2}\\495\overline{)1546}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $1546$

$$\begin{array}{l}\phantom{495)}0\phantom{3}\\495\overline{)1546}\\\end{array}$$

Since $15$ is less than $495$, use the next digit $4$ from dividend $1546$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{495)}00\phantom{4}\\495\overline{)1546}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $1546$

$$\begin{array}{l}\phantom{495)}00\phantom{5}\\495\overline{)1546}\\\end{array}$$

Since $154$ is less than $495$, use the next digit $6$ from dividend $1546$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{495)}000\phantom{6}\\495\overline{)1546}\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $1546$

$$\begin{array}{l}\phantom{495)}000\phantom{7}\\495\overline{)1546}\\\end{array}$$

Find closest multiple of $495$ to $1546$. We see that $3 \times 495 = 1485$ is the nearest. Now subtract $1485$ from $1546$ to get reminder $61$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{495)}0003\phantom{8}\\495\overline{)1546}\\\phantom{495)}\underline{\phantom{}1485\phantom{}}\\\phantom{495)99}61\\\end{array}$$

Since $61$ is less than $495$, stop the division. The reminder is $61$. The topmost line $0003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }61$$

Show Solution

Factor

$\frac{2 \cdot 773}{3 ^ {2} \cdot 5 \cdot 11} = 3\frac{61}{495} = 3.1232323232323234$