How to solve (180)/(65)

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 (180)/(65) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{ 180 }{ 65 }$$

Evaluate

$\frac{36}{13}\approx 2.769230769$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $180$

$$\begin{array}{l}\phantom{65)}\phantom{1}\\65\overline{)180}\\\end{array}$$

Since $1$ is less than $65$, use the next digit $8$ from dividend $180$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{65)}0\phantom{2}\\65\overline{)180}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $180$

$$\begin{array}{l}\phantom{65)}0\phantom{3}\\65\overline{)180}\\\end{array}$$

Since $18$ is less than $65$, use the next digit $0$ from dividend $180$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{65)}00\phantom{4}\\65\overline{)180}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $180$

$$\begin{array}{l}\phantom{65)}00\phantom{5}\\65\overline{)180}\\\end{array}$$

Find closest multiple of $65$ to $180$. We see that $2 \times 65 = 130$ is the nearest. Now subtract $130$ from $180$ to get reminder $50$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{65)}002\phantom{6}\\65\overline{)180}\\\phantom{65)}\underline{\phantom{}130\phantom{}}\\\phantom{65)9}50\\\end{array}$$

Since $50$ is less than $65$, stop the division. The reminder is $50$. The topmost line $002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }50$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 3 ^ {2}}{13} = 2\frac{10}{13} = 2.769230769230769$