How to solve 5/8-4.5/12+23/4

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 5/8-4.5/12+23/4 | Equatix

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Question

$$5/8-4.5/12+23/4$$

Evaluate

$6$

Solution Steps

Expand $\frac{4.5}{12}$ by multiplying both numerator and the denominator by $10$.

$$\frac{5}{8}-\frac{45}{120}+\frac{23}{4}$$

Reduce the fraction $\frac{45}{120}$ to lowest terms by extracting and canceling out $15$.

$$\frac{5}{8}-\frac{3}{8}+\frac{23}{4}$$

Since $\frac{5}{8}$ and $\frac{3}{8}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{8}+\frac{23}{4}$$

Subtract $3$ from $5$ to get $2$.

$$\frac{2}{8}+\frac{23}{4}$$

Reduce the fraction $\frac{2}{8}$ to lowest terms by extracting and canceling out $2$.

$$\frac{1}{4}+\frac{23}{4}$$

Since $\frac{1}{4}$ and $\frac{23}{4}$ have the same denominator, add them by adding their numerators.

$$\frac{1+23}{4}$$

Add $1$ and $23$ to get $24$.

$$\frac{24}{4}$$

Divide $24$ by $4$ to get $6$.

$$6$$

Show Solution

Factor

$2\times 3$