How to solve (729)/(225)

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 (729)/(225) | Equatix

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Question

$$\frac{ 729 }{ 225 }$$

Evaluate

$\frac{81}{25}=3.24$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $729$

$$\begin{array}{l}\phantom{225)}\phantom{1}\\225\overline{)729}\\\end{array}$$

Since $7$ is less than $225$, use the next digit $2$ from dividend $729$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{225)}0\phantom{2}\\225\overline{)729}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $729$

$$\begin{array}{l}\phantom{225)}0\phantom{3}\\225\overline{)729}\\\end{array}$$

Since $72$ is less than $225$, use the next digit $9$ from dividend $729$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{225)}00\phantom{4}\\225\overline{)729}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $729$

$$\begin{array}{l}\phantom{225)}00\phantom{5}\\225\overline{)729}\\\end{array}$$

Find closest multiple of $225$ to $729$. We see that $3 \times 225 = 675$ is the nearest. Now subtract $675$ from $729$ to get reminder $54$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{225)}003\phantom{6}\\225\overline{)729}\\\phantom{225)}\underline{\phantom{}675\phantom{}}\\\phantom{225)9}54\\\end{array}$$

Since $54$ is less than $225$, stop the division. The reminder is $54$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }54$$

Show Solution

Factor

$\frac{3 ^ {4}}{5 ^ {2}} = 3\frac{6}{25} = 3.24$