How to solve 5 2/6 - 1 3/6

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 2/6 - 1 3/6 | Equatix

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Question

$$5\frac{2}{6}-1\frac{3}{6}$$

Evaluate

$\frac{23}{6}\approx 3.833333333$

Solution Steps

Multiply $5$ and $6$ to get $30$.

$$\frac{30+2}{6}-\frac{1\times 6+3}{6}$$

Add $30$ and $2$ to get $32$.

$$\frac{32}{6}-\frac{1\times 6+3}{6}$$

Reduce the fraction $\frac{32}{6}$ to lowest terms by extracting and canceling out $2$.

$$\frac{16}{3}-\frac{1\times 6+3}{6}$$

Multiply $1$ and $6$ to get $6$.

$$\frac{16}{3}-\frac{6+3}{6}$$

Add $6$ and $3$ to get $9$.

$$\frac{16}{3}-\frac{9}{6}$$

Reduce the fraction $\frac{9}{6}$ to lowest terms by extracting and canceling out $3$.

$$\frac{16}{3}-\frac{3}{2}$$

Least common multiple of $3$ and $2$ is $6$. Convert $\frac{16}{3}$ and $\frac{3}{2}$ to fractions with denominator $6$.

$$\frac{32}{6}-\frac{9}{6}$$

Since $\frac{32}{6}$ and $\frac{9}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-9}{6}$$

Subtract $9$ from $32$ to get $23$.

$$\frac{23}{6}$$

Show Solution

Factor

$\frac{23}{2 \cdot 3} = 3\frac{5}{6} = 3.8333333333333335$