How to solve 3739/675

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 3739/675 | Equatix

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Question

$$\frac{3739}{675}$$

Evaluate

$\frac{3739}{675}\approx 5.539259259$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3739$

$$\begin{array}{l}\phantom{675)}\phantom{1}\\675\overline{)3739}\\\end{array}$$

Since $3$ is less than $675$, use the next digit $7$ from dividend $3739$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{675)}0\phantom{2}\\675\overline{)3739}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $3739$

$$\begin{array}{l}\phantom{675)}0\phantom{3}\\675\overline{)3739}\\\end{array}$$

Since $37$ is less than $675$, use the next digit $3$ from dividend $3739$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{675)}00\phantom{4}\\675\overline{)3739}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $3739$

$$\begin{array}{l}\phantom{675)}00\phantom{5}\\675\overline{)3739}\\\end{array}$$

Since $373$ is less than $675$, use the next digit $9$ from dividend $3739$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{675)}000\phantom{6}\\675\overline{)3739}\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $3739$

$$\begin{array}{l}\phantom{675)}000\phantom{7}\\675\overline{)3739}\\\end{array}$$

Find closest multiple of $675$ to $3739$. We see that $5 \times 675 = 3375$ is the nearest. Now subtract $3375$ from $3739$ to get reminder $364$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{675)}0005\phantom{8}\\675\overline{)3739}\\\phantom{675)}\underline{\phantom{}3375\phantom{}}\\\phantom{675)9}364\\\end{array}$$

Since $364$ is less than $675$, stop the division. The reminder is $364$. The topmost line $0005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }364$$

Show Solution

Factor

$\frac{3739}{3 ^ {3} \cdot 5 ^ {2}} = 5\frac{364}{675} = 5.539259259259259$