How to solve 5/1/2+21/4-33/4

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 5/1/2+21/4-33/4 | Equatix

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Question

$$5/1/2+21/4-33/4$$

Evaluate

$-\frac{1}{2}=-0.5$

Solution Steps

Express $\frac{\frac{5}{1}}{2}$ as a single fraction.

$$\frac{5}{2}+\frac{21}{4}-\frac{33}{4}$$

Least common multiple of $2$ and $4$ is $4$. Convert $\frac{5}{2}$ and $\frac{21}{4}$ to fractions with denominator $4$.

$$\frac{10}{4}+\frac{21}{4}-\frac{33}{4}$$

Since $\frac{10}{4}$ and $\frac{21}{4}$ have the same denominator, add them by adding their numerators.

$$\frac{10+21}{4}-\frac{33}{4}$$

Add $10$ and $21$ to get $31$.

$$\frac{31}{4}-\frac{33}{4}$$

Since $\frac{31}{4}$ and $\frac{33}{4}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-33}{4}$$

Subtract $33$ from $31$ to get $-2$.

$$\frac{-2}{4}$$

Reduce the fraction $\frac{-2}{4}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{1}{2}$$

Show Solution

Factor

$-\frac{1}{2} = -0.5$