How to solve 2/5-33/8/(-9/4)

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 2/5-33/8/(-9/4) | Equatix

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Question

$$2/5-33/8/(-9/4)$$

Evaluate

$\frac{67}{30}\approx 2.233333333$

Solution Steps

Divide $\frac{33}{8}$ by $\frac{-9}{4}$ by multiplying $\frac{33}{8}$ by the reciprocal of $\frac{-9}{4}$.

$$\frac{2}{5}-\frac{33\times 4}{8\left(-9\right)}$$

Cancel out $3\times 4$ in both numerator and denominator.

$$\frac{2}{5}-\frac{11}{-3\times 2}$$

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

$$\frac{2}{5}-\frac{11}{-6}$$

Fraction $\frac{11}{-6}$ can be rewritten as $-\frac{11}{6}$ by extracting the negative sign.

$$\frac{2}{5}-\left(-\frac{11}{6}\right)$$

The opposite of $-\frac{11}{6}$ is $\frac{11}{6}$.

$$\frac{2}{5}+\frac{11}{6}$$

Least common multiple of $5$ and $6$ is $30$. Convert $\frac{2}{5}$ and $\frac{11}{6}$ to fractions with denominator $30$.

$$\frac{12}{30}+\frac{55}{30}$$

Since $\frac{12}{30}$ and $\frac{55}{30}$ have the same denominator, add them by adding their numerators.

$$\frac{12+55}{30}$$

Add $12$ and $55$ to get $67$.

$$\frac{67}{30}$$

Show Solution

Factor

$\frac{67}{2 \cdot 3 \cdot 5} = 2\frac{7}{30} = 2.2333333333333334$