How to solve (40)/(19)

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 (40)/(19) | Equatix

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Question

$$\frac{ 40 }{ 19 }$$

Evaluate

$\frac{40}{19}\approx 2.105263158$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $40$

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)40}\\\end{array}$$

Since $4$ is less than $19$, use the next digit $0$ from dividend $40$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)40}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $40$

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)40}\\\end{array}$$

Find closest multiple of $19$ to $40$. We see that $2 \times 19 = 38$ is the nearest. Now subtract $38$ from $40$ to get reminder $2$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{19)}02\phantom{4}\\19\overline{)40}\\\phantom{19)}\underline{\phantom{}38\phantom{}}\\\phantom{19)9}2\\\end{array}$$

Since $2$ is less than $19$, stop the division. The reminder is $2$. The topmost line $02$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }2$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 5}{19} = 2\frac{2}{19} = 2.1052631578947367$