How to solve d. 3 5/18 - 5/30

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 d. 3 5/18 - 5/30 | Equatix

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Question

$$\quad 3 \frac { 5 } { 18 } - \frac { 5 } { 30 }$$

Evaluate

$\frac{28}{9}\approx 3.111111111$

Solution Steps

Multiply $3$ and $18$ to get $54$.

$$\frac{54+5}{18}-\frac{5}{30}$$

Add $54$ and $5$ to get $59$.

$$\frac{59}{18}-\frac{5}{30}$$

Reduce the fraction $\frac{5}{30}$ to lowest terms by extracting and canceling out $5$.

$$\frac{59}{18}-\frac{1}{6}$$

Least common multiple of $18$ and $6$ is $18$. Convert $\frac{59}{18}$ and $\frac{1}{6}$ to fractions with denominator $18$.

$$\frac{59}{18}-\frac{3}{18}$$

Since $\frac{59}{18}$ and $\frac{3}{18}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{59-3}{18}$$

Subtract $3$ from $59$ to get $56$.

$$\frac{56}{18}$$

Reduce the fraction $\frac{56}{18}$ to lowest terms by extracting and canceling out $2$.

$$\frac{28}{9}$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 7}{3 ^ {2}} = 3\frac{1}{9} = 3.111111111111111$