How to solve (269)/(72)

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 (269)/(72) | Equatix

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Question

$$\frac{ 269 }{ 72 }$$

Evaluate

$\frac{269}{72}\approx 3.736111111$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $269$

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)269}\\\end{array}$$

Since $2$ is less than $72$, use the next digit $6$ from dividend $269$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)269}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $269$

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)269}\\\end{array}$$

Since $26$ is less than $72$, use the next digit $9$ from dividend $269$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)269}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $269$

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)269}\\\end{array}$$

Find closest multiple of $72$ to $269$. We see that $3 \times 72 = 216$ is the nearest. Now subtract $216$ from $269$ to get reminder $53$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{72)}003\phantom{6}\\72\overline{)269}\\\phantom{72)}\underline{\phantom{}216\phantom{}}\\\phantom{72)9}53\\\end{array}$$

Since $53$ is less than $72$, stop the division. The reminder is $53$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }53$$

Show Solution

Factor

$\frac{269}{2 ^ {3} \cdot 3 ^ {2}} = 3\frac{53}{72} = 3.736111111111111$