How to solve 3(2 1/4 + 3 5/6)

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 3(2 1/4 + 3 5/6) | Equatix

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Question

$$3\times(2\frac{1}{4}+3\frac{5}{6})$$

Evaluate

$\frac{73}{4}=18.25$

Solution Steps

Multiply $2$ and $4$ to get $8$.

$$3\left(\frac{8+1}{4}+\frac{3\times 6+5}{6}\right)$$

Add $8$ and $1$ to get $9$.

$$3\left(\frac{9}{4}+\frac{3\times 6+5}{6}\right)$$

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

$$3\left(\frac{9}{4}+\frac{18+5}{6}\right)$$

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

$$3\left(\frac{9}{4}+\frac{23}{6}\right)$$

Least common multiple of $4$ and $6$ is $12$. Convert $\frac{9}{4}$ and $\frac{23}{6}$ to fractions with denominator $12$.

$$3\left(\frac{27}{12}+\frac{46}{12}\right)$$

Since $\frac{27}{12}$ and $\frac{46}{12}$ have the same denominator, add them by adding their numerators.

$$3\times \frac{27+46}{12}$$

Add $27$ and $46$ to get $73$.

$$3\times \frac{73}{12}$$

Express $3\times \frac{73}{12}$ as a single fraction.

$$\frac{3\times 73}{12}$$

Multiply $3$ and $73$ to get $219$.

$$\frac{219}{12}$$

Reduce the fraction $\frac{219}{12}$ to lowest terms by extracting and canceling out $3$.

$$\frac{73}{4}$$

Show Solution

Factor

$\frac{73}{2 ^ {2}} = 18\frac{1}{4} = 18.25$