How to solve (1 2/3) / (1 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 (1 2/3) / (1 3/5) | Equatix

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Question

$$1\frac{2}{3}\div1\frac{3}{5}$$

Evaluate

$\frac{25}{24}\approx 1.041666667$

Solution Steps

Divide $\frac{1\times 3+2}{3}$ by $\frac{1\times 5+3}{5}$ by multiplying $\frac{1\times 3+2}{3}$ by the reciprocal of $\frac{1\times 5+3}{5}$.

$$\frac{\left(1\times 3+2\right)\times 5}{3\left(1\times 5+3\right)}$$

Multiply $1$ and $3$ to get $3$.

$$\frac{\left(3+2\right)\times 5}{3\left(1\times 5+3\right)}$$

Add $3$ and $2$ to get $5$.

$$\frac{5\times 5}{3\left(1\times 5+3\right)}$$

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

$$\frac{25}{3\left(1\times 5+3\right)}$$

Multiply $1$ and $5$ to get $5$.

$$\frac{25}{3\left(5+3\right)}$$

Add $5$ and $3$ to get $8$.

$$\frac{25}{3\times 8}$$

Multiply $3$ and $8$ to get $24$.

$$\frac{25}{24}$$

Show Solution

Factor

$\frac{5 ^ {2}}{2 ^ {3} \cdot 3} = 1\frac{1}{24} = 1.0416666666666667$