How to solve (4 4/5) / (8 2/3)

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 (4 4/5) / (8 2/3) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$4\frac{4}{5}\div8\frac{2}{3}$$

Evaluate

$\frac{36}{65}\approx 0.553846154$

Solution Steps

Divide $\frac{4\times 5+4}{5}$ by $\frac{8\times 3+2}{3}$ by multiplying $\frac{4\times 5+4}{5}$ by the reciprocal of $\frac{8\times 3+2}{3}$.

$$\frac{\left(4\times 5+4\right)\times 3}{5\left(8\times 3+2\right)}$$

Multiply $4$ and $5$ to get $20$.

$$\frac{\left(20+4\right)\times 3}{5\left(8\times 3+2\right)}$$

Add $20$ and $4$ to get $24$.

$$\frac{24\times 3}{5\left(8\times 3+2\right)}$$

Multiply $24$ and $3$ to get $72$.

$$\frac{72}{5\left(8\times 3+2\right)}$$

Multiply $8$ and $3$ to get $24$.

$$\frac{72}{5\left(24+2\right)}$$

Add $24$ and $2$ to get $26$.

$$\frac{72}{5\times 26}$$

Multiply $5$ and $26$ to get $130$.

$$\frac{72}{130}$$

Reduce the fraction $\frac{72}{130}$ to lowest terms by extracting and canceling out $2$.

$$\frac{36}{65}$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 3 ^ {2}}{5 \cdot 13} = 0.5538461538461539$