How to solve Kites 100 61°

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 Kites 100 61° | Equatix

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Question

$$\frac { 100 ^ { \circ } } { 61 ^ { \circ } }$$

Evaluate

$\frac{100}{61}\approx 1.639344262$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $100$

$$\begin{array}{l}\phantom{61)}\phantom{1}\\61\overline{)100}\\\end{array}$$

Since $1$ is less than $61$, use the next digit $0$ from dividend $100$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{61)}0\phantom{2}\\61\overline{)100}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $100$

$$\begin{array}{l}\phantom{61)}0\phantom{3}\\61\overline{)100}\\\end{array}$$

Since $10$ is less than $61$, use the next digit $0$ from dividend $100$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{61)}00\phantom{4}\\61\overline{)100}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $100$

$$\begin{array}{l}\phantom{61)}00\phantom{5}\\61\overline{)100}\\\end{array}$$

Find closest multiple of $61$ to $100$. We see that $1 \times 61 = 61$ is the nearest. Now subtract $61$ from $100$ to get reminder $39$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{61)}001\phantom{6}\\61\overline{)100}\\\phantom{61)}\underline{\phantom{9}61\phantom{}}\\\phantom{61)9}39\\\end{array}$$

Since $39$ is less than $61$, stop the division. The reminder is $39$. The topmost line $001$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }39$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 ^ {2}}{61} = 1\frac{39}{61} = 1.639344262295082$