How to solve (2 3/7) / (3 3/5)

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 3/7) / (3 3/5) | Equatix

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Question

$$2\frac{3}{7}\div3\frac{3}{5}$$

Evaluate

$\frac{85}{126}\approx 0.674603175$

Solution Steps

Divide $\frac{2\times 7+3}{7}$ by $\frac{3\times 5+3}{5}$ by multiplying $\frac{2\times 7+3}{7}$ by the reciprocal of $\frac{3\times 5+3}{5}$.

$$\frac{\left(2\times 7+3\right)\times 5}{7\left(3\times 5+3\right)}$$

Multiply $2$ and $7$ to get $14$.

$$\frac{\left(14+3\right)\times 5}{7\left(3\times 5+3\right)}$$

Add $14$ and $3$ to get $17$.

$$\frac{17\times 5}{7\left(3\times 5+3\right)}$$

Multiply $17$ and $5$ to get $85$.

$$\frac{85}{7\left(3\times 5+3\right)}$$

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

$$\frac{85}{7\left(15+3\right)}$$

Add $15$ and $3$ to get $18$.

$$\frac{85}{7\times 18}$$

Multiply $7$ and $18$ to get $126$.

$$\frac{85}{126}$$

Show Solution

Factor

$\frac{5 \cdot 17}{2 \cdot 3 ^ {2} \cdot 7} = 0.6746031746031746$