How to solve (1500)/(45)

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 (1500)/(45) | Equatix

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Question

$$\frac{ 1500 }{ 45 }$$

Evaluate

$\frac{100}{3}\approx 33.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1500$

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)1500}\\\end{array}$$

Since $1$ is less than $45$, use the next digit $5$ from dividend $1500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)1500}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $1500$

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)1500}\\\end{array}$$

Since $15$ is less than $45$, use the next digit $0$ from dividend $1500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)1500}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $1500$

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)1500}\\\end{array}$$

Find closest multiple of $45$ to $150$. We see that $3 \times 45 = 135$ is the nearest. Now subtract $135$ from $150$ to get reminder $15$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{45)}003\phantom{6}\\45\overline{)1500}\\\phantom{45)}\underline{\phantom{}135\phantom{9}}\\\phantom{45)9}15\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $1500$

$$\begin{array}{l}\phantom{45)}003\phantom{7}\\45\overline{)1500}\\\phantom{45)}\underline{\phantom{}135\phantom{9}}\\\phantom{45)9}150\\\end{array}$$

Find closest multiple of $45$ to $150$. We see that $3 \times 45 = 135$ is the nearest. Now subtract $135$ from $150$ to get reminder $15$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{45)}0033\phantom{8}\\45\overline{)1500}\\\phantom{45)}\underline{\phantom{}135\phantom{9}}\\\phantom{45)9}150\\\phantom{45)}\underline{\phantom{9}135\phantom{}}\\\phantom{45)99}15\\\end{array}$$

Since $15$ is less than $45$, stop the division. The reminder is $15$. The topmost line $0033$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $33$.

$$\text{Quotient: }33$$ $$\text{Reminder: }15$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 ^ {2}}{3} = 33\frac{1}{3} = 33.333333333333336$