How to solve 5/12 + 4/15 + 1/6

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 5/12 + 4/15 + 1/6 | Equatix

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Question

$$\frac{5}{12}+\frac{4}{15}+\frac{1}{6}$$

Evaluate

$\frac{17}{20}=0.85$

Solution Steps

Least common multiple of $12$ and $15$ is $60$. Convert $\frac{5}{12}$ and $\frac{4}{15}$ to fractions with denominator $60$.

$$\frac{25}{60}+\frac{16}{60}+\frac{1}{6}$$

Since $\frac{25}{60}$ and $\frac{16}{60}$ have the same denominator, add them by adding their numerators.

$$\frac{25+16}{60}+\frac{1}{6}$$

Add $25$ and $16$ to get $41$.

$$\frac{41}{60}+\frac{1}{6}$$

Least common multiple of $60$ and $6$ is $60$. Convert $\frac{41}{60}$ and $\frac{1}{6}$ to fractions with denominator $60$.

$$\frac{41}{60}+\frac{10}{60}$$

Since $\frac{41}{60}$ and $\frac{10}{60}$ have the same denominator, add them by adding their numerators.

$$\frac{41+10}{60}$$

Add $41$ and $10$ to get $51$.

$$\frac{51}{60}$$

Reduce the fraction $\frac{51}{60}$ to lowest terms by extracting and canceling out $3$.

$$\frac{17}{20}$$

Show Solution

Factor

$\frac{17}{2 ^ {2} \cdot 5} = 0.85$