How to solve (75)/(12)

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 (75)/(12) | Equatix

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Question

$$\frac{ 75 }{ 12 }$$

Evaluate

$\frac{25}{4}=6.25$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $75$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)75}\\\end{array}$$

Since $7$ is less than $12$, use the next digit $5$ from dividend $75$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)75}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $75$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)75}\\\end{array}$$

Find closest multiple of $12$ to $75$. We see that $6 \times 12 = 72$ is the nearest. Now subtract $72$ from $75$ to get reminder $3$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{12)}06\phantom{4}\\12\overline{)75}\\\phantom{12)}\underline{\phantom{}72\phantom{}}\\\phantom{12)9}3\\\end{array}$$

Since $3$ is less than $12$, stop the division. The reminder is $3$. The topmost line $06$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }3$$

Show Solution

Factor

$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$