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

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 2 5/12 + 4 3/4 | Equatix

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Question

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

Evaluate

$\frac{43}{6}\approx 7.166666667$

Solution Steps

Multiply $2$ and $12$ to get $24$.

$$\frac{24+5}{12}+\frac{4\times 4+3}{4}$$

Add $24$ and $5$ to get $29$.

$$\frac{29}{12}+\frac{4\times 4+3}{4}$$

Multiply $4$ and $4$ to get $16$.

$$\frac{29}{12}+\frac{16+3}{4}$$

Add $16$ and $3$ to get $19$.

$$\frac{29}{12}+\frac{19}{4}$$

Least common multiple of $12$ and $4$ is $12$. Convert $\frac{29}{12}$ and $\frac{19}{4}$ to fractions with denominator $12$.

$$\frac{29}{12}+\frac{57}{12}$$

Since $\frac{29}{12}$ and $\frac{57}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{29+57}{12}$$

Add $29$ and $57$ to get $86$.

$$\frac{86}{12}$$

Reduce the fraction $\frac{86}{12}$ to lowest terms by extracting and canceling out $2$.

$$\frac{43}{6}$$

Show Solution

Factor

$\frac{43}{2 \cdot 3} = 7\frac{1}{6} = 7.166666666666667$