How to solve 8 2/3 - 1/2 - 1/4

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 8 2/3 - 1/2 - 1/4 | Equatix

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Question

$$8\frac{2}{3}-\frac{1}{2}-\frac{1}{4}$$

Evaluate

$\frac{95}{12}\approx 7.916666667$

Solution Steps

Multiply $8$ and $3$ to get $24$.

$$\frac{24+2}{3}-\frac{1}{2}-\frac{1}{4}$$

Add $24$ and $2$ to get $26$.

$$\frac{26}{3}-\frac{1}{2}-\frac{1}{4}$$

Least common multiple of $3$ and $2$ is $6$. Convert $\frac{26}{3}$ and $\frac{1}{2}$ to fractions with denominator $6$.

$$\frac{52}{6}-\frac{3}{6}-\frac{1}{4}$$

Since $\frac{52}{6}$ and $\frac{3}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-3}{6}-\frac{1}{4}$$

Subtract $3$ from $52$ to get $49$.

$$\frac{49}{6}-\frac{1}{4}$$

Least common multiple of $6$ and $4$ is $12$. Convert $\frac{49}{6}$ and $\frac{1}{4}$ to fractions with denominator $12$.

$$\frac{98}{12}-\frac{3}{12}$$

Since $\frac{98}{12}$ and $\frac{3}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{98-3}{12}$$

Subtract $3$ from $98$ to get $95$.

$$\frac{95}{12}$$

Show Solution

Factor

$\frac{5 \cdot 19}{2 ^ {2} \cdot 3} = 7\frac{11}{12} = 7.916666666666667$