How to solve (790)/(784)

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 (790)/(784) | Equatix

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Question

$$\frac{ 790 }{ 784 }$$

Evaluate

$\frac{395}{392}\approx 1.007653061$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $790$

$$\begin{array}{l}\phantom{784)}\phantom{1}\\784\overline{)790}\\\end{array}$$

Since $7$ is less than $784$, use the next digit $9$ from dividend $790$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{784)}0\phantom{2}\\784\overline{)790}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $790$

$$\begin{array}{l}\phantom{784)}0\phantom{3}\\784\overline{)790}\\\end{array}$$

Since $79$ is less than $784$, use the next digit $0$ from dividend $790$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{784)}00\phantom{4}\\784\overline{)790}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $790$

$$\begin{array}{l}\phantom{784)}00\phantom{5}\\784\overline{)790}\\\end{array}$$

Find closest multiple of $784$ to $790$. We see that $1 \times 784 = 784$ is the nearest. Now subtract $784$ from $790$ to get reminder $6$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{784)}001\phantom{6}\\784\overline{)790}\\\phantom{784)}\underline{\phantom{}784\phantom{}}\\\phantom{784)99}6\\\end{array}$$

Since $6$ is less than $784$, stop the division. The reminder is $6$. The topmost line $001$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }6$$

Show Solution

Factor

$\frac{5 \cdot 79}{2 ^ {3} \cdot 7 ^ {2}} = 1\frac{3}{392} = 1.0076530612244898$