How to solve (c) 3 5/6 + 2 4/8

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 (c) 3 5/6 + 2 4/8 | Equatix

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Question

$$3 \frac { 5 } { 6 } + 2 \frac { 4 } { 8 }$$

Evaluate

$\frac{19}{3}\approx 6.333333333$

Solution Steps

Multiply $3$ and $6$ to get $18$.

$$\frac{18+5}{6}+\frac{2\times 8+4}{8}$$

Add $18$ and $5$ to get $23$.

$$\frac{23}{6}+\frac{2\times 8+4}{8}$$

Multiply $2$ and $8$ to get $16$.

$$\frac{23}{6}+\frac{16+4}{8}$$

Add $16$ and $4$ to get $20$.

$$\frac{23}{6}+\frac{20}{8}$$

Reduce the fraction $\frac{20}{8}$ to lowest terms by extracting and canceling out $4$.

$$\frac{23}{6}+\frac{5}{2}$$

Least common multiple of $6$ and $2$ is $6$. Convert $\frac{23}{6}$ and $\frac{5}{2}$ to fractions with denominator $6$.

$$\frac{23}{6}+\frac{15}{6}$$

Since $\frac{23}{6}$ and $\frac{15}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{23+15}{6}$$

Add $23$ and $15$ to get $38$.

$$\frac{38}{6}$$

Reduce the fraction $\frac{38}{6}$ to lowest terms by extracting and canceling out $2$.

$$\frac{19}{3}$$

Show Solution

Factor

$\frac{19}{3} = 6\frac{1}{3} = 6.333333333333333$