How to solve (5 1/5) / (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 (5 1/5) / (6/7) | Equatix

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$$5\frac{1}{5}\div\frac{6}{7}$$

$\frac{91}{15}\approx 6.066666667$

Divide $\frac{5\times 5+1}{5}$ by $\frac{6}{7}$ by multiplying $\frac{5\times 5+1}{5}$ by the reciprocal of $\frac{6}{7}$.

$$\frac{\left(5\times 5+1\right)\times 7}{5\times 6}$$

Multiply $5$ and $5$ to get $25$.

$$\frac{\left(25+1\right)\times 7}{5\times 6}$$

Add $25$ and $1$ to get $26$.

$$\frac{26\times 7}{5\times 6}$$

Multiply $26$ and $7$ to get $182$.

$$\frac{182}{5\times 6}$$

Multiply $5$ and $6$ to get $30$.

$$\frac{182}{30}$$

Reduce the fraction $\frac{182}{30}$ to lowest terms by extracting and canceling out $2$.

$$\frac{91}{15}$$

$\frac{7 \cdot 13}{3 \cdot 5} = 6\frac{1}{15} = 6.066666666666666$