How to solve 1/2 + 3/4 - 5/12

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 - 5/12 | Equatix

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Question

$$\frac{1}{2}+\frac{3}{4}-\frac{5}{12}$$

Evaluate

$\frac{5}{6}\approx 0.833333333$

Solution Steps

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

$$\frac{2}{4}+\frac{3}{4}-\frac{5}{12}$$

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

$$\frac{2+3}{4}-\frac{5}{12}$$

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

$$\frac{5}{4}-\frac{5}{12}$$

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

$$\frac{15}{12}-\frac{5}{12}$$

Since $\frac{15}{12}$ and $\frac{5}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-5}{12}$$

Subtract $5$ from $15$ to get $10$.

$$\frac{10}{12}$$

Reduce the fraction $\frac{10}{12}$ to lowest terms by extracting and canceling out $2$.

$$\frac{5}{6}$$

Show Solution

Factor

$\frac{5}{2 \cdot 3} = 0.8333333333333334$