How to solve (101)/(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 (101)/(72) | Equatix

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Question

$$\frac{ 101 }{ 72 }$$

Evaluate

$\frac{101}{72}\approx 1.402777778$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $101$

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)101}\\\end{array}$$

Since $1$ is less than $72$, use the next digit $0$ from dividend $101$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)101}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $101$

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)101}\\\end{array}$$

Since $10$ is less than $72$, use the next digit $1$ from dividend $101$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)101}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $101$

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)101}\\\end{array}$$

Find closest multiple of $72$ to $101$. We see that $1 \times 72 = 72$ is the nearest. Now subtract $72$ from $101$ to get reminder $29$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{72)}001\phantom{6}\\72\overline{)101}\\\phantom{72)}\underline{\phantom{9}72\phantom{}}\\\phantom{72)9}29\\\end{array}$$

Since $29$ is less than $72$, stop the division. The reminder is $29$. The topmost line $001$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }29$$

Show Solution

Factor

$\frac{101}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{29}{72} = 1.4027777777777777$