How to solve (6 2/8) / (4 4/9)

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 (6 2/8) / (4 4/9) | Equatix

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Question

$$6\frac{2}{8}\div4\frac{4}{9}$$

Evaluate

$\frac{45}{32}=1.40625$

Solution Steps

Divide $\frac{6\times 8+2}{8}$ by $\frac{4\times 9+4}{9}$ by multiplying $\frac{6\times 8+2}{8}$ by the reciprocal of $\frac{4\times 9+4}{9}$.

$$\frac{\left(6\times 8+2\right)\times 9}{8\left(4\times 9+4\right)}$$

Multiply $6$ and $8$ to get $48$.

$$\frac{\left(48+2\right)\times 9}{8\left(4\times 9+4\right)}$$

Add $48$ and $2$ to get $50$.

$$\frac{50\times 9}{8\left(4\times 9+4\right)}$$

Multiply $50$ and $9$ to get $450$.

$$\frac{450}{8\left(4\times 9+4\right)}$$

Multiply $4$ and $9$ to get $36$.

$$\frac{450}{8\left(36+4\right)}$$

Add $36$ and $4$ to get $40$.

$$\frac{450}{8\times 40}$$

Multiply $8$ and $40$ to get $320$.

$$\frac{450}{320}$$

Reduce the fraction $\frac{450}{320}$ to lowest terms by extracting and canceling out $10$.

$$\frac{45}{32}$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 5}{2 ^ {5}} = 1\frac{13}{32} = 1.40625$