How to solve (448)/(441)

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 (448)/(441) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{ 448 }{ 441 }$$

Evaluate

$\frac{64}{63}\approx 1.015873016$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $448$

$$\begin{array}{l}\phantom{441)}\phantom{1}\\441\overline{)448}\\\end{array}$$

Since $4$ is less than $441$, use the next digit $4$ from dividend $448$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{441)}0\phantom{2}\\441\overline{)448}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $448$

$$\begin{array}{l}\phantom{441)}0\phantom{3}\\441\overline{)448}\\\end{array}$$

Since $44$ is less than $441$, use the next digit $8$ from dividend $448$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{441)}00\phantom{4}\\441\overline{)448}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $448$

$$\begin{array}{l}\phantom{441)}00\phantom{5}\\441\overline{)448}\\\end{array}$$

Find closest multiple of $441$ to $448$. We see that $1 \times 441 = 441$ is the nearest. Now subtract $441$ from $448$ to get reminder $7$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{441)}001\phantom{6}\\441\overline{)448}\\\phantom{441)}\underline{\phantom{}441\phantom{}}\\\phantom{441)99}7\\\end{array}$$

Since $7$ is less than $441$, stop the division. The reminder is $7$. The topmost line $001$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1$.

$$\text{Quotient: }1$$ $$\text{Reminder: }7$$

Show Solution

Factor

$\frac{2 ^ {6}}{3 ^ {2} \cdot 7} = 1\frac{1}{63} = 1.0158730158730158$