How to solve (172)/(12)

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 (172)/(12) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{ 172 }{ 12 }$$

Evaluate

$\frac{43}{3}\approx 14.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $172$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)172}\\\end{array}$$

Since $1$ is less than $12$, use the next digit $7$ from dividend $172$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)172}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $172$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)172}\\\end{array}$$

Find closest multiple of $12$ to $17$. We see that $1 \times 12 = 12$ is the nearest. Now subtract $12$ from $17$ to get reminder $5$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)172}\\\phantom{12)}\underline{\phantom{}12\phantom{9}}\\\phantom{12)9}5\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $172$

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)172}\\\phantom{12)}\underline{\phantom{}12\phantom{9}}\\\phantom{12)9}52\\\end{array}$$

Find closest multiple of $12$ to $52$. We see that $4 \times 12 = 48$ is the nearest. Now subtract $48$ from $52$ to get reminder $4$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{12)}014\phantom{6}\\12\overline{)172}\\\phantom{12)}\underline{\phantom{}12\phantom{9}}\\\phantom{12)9}52\\\phantom{12)}\underline{\phantom{9}48\phantom{}}\\\phantom{12)99}4\\\end{array}$$

Since $4$ is less than $12$, stop the division. The reminder is $4$. The topmost line $014$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $14$.

$$\text{Quotient: }14$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{43}{3} = 14\frac{1}{3} = 14.333333333333334$