How to solve (7 4/4) / (4 6/7)

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 (7 4/4) / (4 6/7) | Equatix

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Question

$$7\frac{4}{4}\div4\frac{6}{7}$$

Evaluate

$\frac{28}{17}\approx 1.647058824$

Solution Steps

Divide $\frac{7\times 4+4}{4}$ by $\frac{4\times 7+6}{7}$ by multiplying $\frac{7\times 4+4}{4}$ by the reciprocal of $\frac{4\times 7+6}{7}$.

$$\frac{\left(7\times 4+4\right)\times 7}{4\left(4\times 7+6\right)}$$

Multiply $7$ and $4$ to get $28$.

$$\frac{\left(28+4\right)\times 7}{4\left(4\times 7+6\right)}$$

Add $28$ and $4$ to get $32$.

$$\frac{32\times 7}{4\left(4\times 7+6\right)}$$

Multiply $32$ and $7$ to get $224$.

$$\frac{224}{4\left(4\times 7+6\right)}$$

Multiply $4$ and $7$ to get $28$.

$$\frac{224}{4\left(28+6\right)}$$

Add $28$ and $6$ to get $34$.

$$\frac{224}{4\times 34}$$

Multiply $4$ and $34$ to get $136$.

$$\frac{224}{136}$$

Reduce the fraction $\frac{224}{136}$ to lowest terms by extracting and canceling out $8$.

$$\frac{28}{17}$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 7}{17} = 1\frac{11}{17} = 1.6470588235294117$