How to solve -1/2+3/4-5/3+3/2

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+3/4-5/3+3/2 | Equatix

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Question

$$-1/2+3/4-5/3+3/2$$

Evaluate

$\frac{1}{12}\approx 0.083333333$

Solution Steps

Fraction $\frac{-1}{2}$ can be rewritten as $-\frac{1}{2}$ by extracting the negative sign.

$$-\frac{1}{2}+\frac{3}{4}-\frac{5}{3}+\frac{3}{2}$$

Least common multiple of $2$ and $4$ is $4$. Convert $-\frac{1}{2}$ and $\frac{3}{4}$ to fractions with denominator $4$.

$$-\frac{2}{4}+\frac{3}{4}-\frac{5}{3}+\frac{3}{2}$$

Since $-\frac{2}{4}$ and $\frac{3}{4}$ have the same denominator, add them by adding their numerators.

$$\frac{-2+3}{4}-\frac{5}{3}+\frac{3}{2}$$

Add $-2$ and $3$ to get $1$.

$$\frac{1}{4}-\frac{5}{3}+\frac{3}{2}$$

Least common multiple of $4$ and $3$ is $12$. Convert $\frac{1}{4}$ and $\frac{5}{3}$ to fractions with denominator $12$.

$$\frac{3}{12}-\frac{20}{12}+\frac{3}{2}$$

Since $\frac{3}{12}$ and $\frac{20}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-20}{12}+\frac{3}{2}$$

Subtract $20$ from $3$ to get $-17$.

$$-\frac{17}{12}+\frac{3}{2}$$

Least common multiple of $12$ and $2$ is $12$. Convert $-\frac{17}{12}$ and $\frac{3}{2}$ to fractions with denominator $12$.

$$-\frac{17}{12}+\frac{18}{12}$$

Since $-\frac{17}{12}$ and $\frac{18}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{-17+18}{12}$$

Add $-17$ and $18$ to get $1$.

$$\frac{1}{12}$$

Show Solution

Factor

$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$