How to solve (2 2/3) / (1 1/4)

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 (2 2/3) / (1 1/4) | Equatix

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Question

$$2\frac{2}{3}:1\frac{1}{4}$$

Evaluate

$\frac{32}{15}\approx 2.133333333$

Solution Steps

Divide $\frac{2\times 3+2}{3}$ by $\frac{1\times 4+1}{4}$ by multiplying $\frac{2\times 3+2}{3}$ by the reciprocal of $\frac{1\times 4+1}{4}$.

$$\frac{\left(2\times 3+2\right)\times 4}{3\left(1\times 4+1\right)}$$

Multiply $2$ and $3$ to get $6$.

$$\frac{\left(6+2\right)\times 4}{3\left(1\times 4+1\right)}$$

Add $6$ and $2$ to get $8$.

$$\frac{8\times 4}{3\left(1\times 4+1\right)}$$

Multiply $8$ and $4$ to get $32$.

$$\frac{32}{3\left(1\times 4+1\right)}$$

Multiply $1$ and $4$ to get $4$.

$$\frac{32}{3\left(4+1\right)}$$

Add $4$ and $1$ to get $5$.

$$\frac{32}{3\times 5}$$

Multiply $3$ and $5$ to get $15$.

$$\frac{32}{15}$$

Show Solution

Factor

$\frac{2 ^ {5}}{3 \cdot 5} = 2\frac{2}{15} = 2.1333333333333333$