How to solve (1568)/(400)

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 (1568)/(400) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{ 1568 }{ 400 }$$

Evaluate

$\frac{98}{25}=3.92$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1568$

$$\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)1568}\\\end{array}$$

Since $1$ is less than $400$, use the next digit $5$ from dividend $1568$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)1568}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $1568$

$$\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)1568}\\\end{array}$$

Since $15$ is less than $400$, use the next digit $6$ from dividend $1568$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)1568}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $1568$

$$\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)1568}\\\end{array}$$

Since $156$ is less than $400$, use the next digit $8$ from dividend $1568$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{400)}000\phantom{6}\\400\overline{)1568}\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $1568$

$$\begin{array}{l}\phantom{400)}000\phantom{7}\\400\overline{)1568}\\\end{array}$$

Find closest multiple of $400$ to $1568$. We see that $3 \times 400 = 1200$ is the nearest. Now subtract $1200$ from $1568$ to get reminder $368$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{400)}0003\phantom{8}\\400\overline{)1568}\\\phantom{400)}\underline{\phantom{}1200\phantom{}}\\\phantom{400)9}368\\\end{array}$$

Since $368$ is less than $400$, stop the division. The reminder is $368$. The topmost line $0003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }368$$

Show Solution

Factor

$\frac{2 \cdot 7 ^ {2}}{5 ^ {2}} = 3\frac{23}{25} = 3.92$