How to solve (670)/(189)

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 (670)/(189) | Equatix

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Question

$$\frac{ 670 }{ 189 }$$

Evaluate

$\frac{670}{189}\approx 3.544973545$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $670$

$$\begin{array}{l}\phantom{189)}\phantom{1}\\189\overline{)670}\\\end{array}$$

Since $6$ is less than $189$, use the next digit $7$ from dividend $670$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{189)}0\phantom{2}\\189\overline{)670}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $670$

$$\begin{array}{l}\phantom{189)}0\phantom{3}\\189\overline{)670}\\\end{array}$$

Since $67$ is less than $189$, use the next digit $0$ from dividend $670$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{189)}00\phantom{4}\\189\overline{)670}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $670$

$$\begin{array}{l}\phantom{189)}00\phantom{5}\\189\overline{)670}\\\end{array}$$

Find closest multiple of $189$ to $670$. We see that $3 \times 189 = 567$ is the nearest. Now subtract $567$ from $670$ to get reminder $103$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{189)}003\phantom{6}\\189\overline{)670}\\\phantom{189)}\underline{\phantom{}567\phantom{}}\\\phantom{189)}103\\\end{array}$$

Since $103$ is less than $189$, stop the division. The reminder is $103$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }103$$

Show Solution

Factor

$\frac{2 \cdot 5 \cdot 67}{3 ^ {3} \cdot 7} = 3\frac{103}{189} = 3.544973544973545$