How to solve 3/5 + 5/15 - 2/4

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 3/5 + 5/15 - 2/4 | Equatix

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Question

$$\frac{3}{5}+\frac{5}{15}-\frac{2}{4}$$

Evaluate

$\frac{13}{30}\approx 0.433333333$

Solution Steps

Reduce the fraction $\frac{5}{15}$ to lowest terms by extracting and canceling out $5$.

$$\frac{3}{5}+\frac{1}{3}-\frac{2}{4}$$

Least common multiple of $5$ and $3$ is $15$. Convert $\frac{3}{5}$ and $\frac{1}{3}$ to fractions with denominator $15$.

$$\frac{9}{15}+\frac{5}{15}-\frac{2}{4}$$

Since $\frac{9}{15}$ and $\frac{5}{15}$ have the same denominator, add them by adding their numerators.

$$\frac{9+5}{15}-\frac{2}{4}$$

Add $9$ and $5$ to get $14$.

$$\frac{14}{15}-\frac{2}{4}$$

Reduce the fraction $\frac{2}{4}$ to lowest terms by extracting and canceling out $2$.

$$\frac{14}{15}-\frac{1}{2}$$

Least common multiple of $15$ and $2$ is $30$. Convert $\frac{14}{15}$ and $\frac{1}{2}$ to fractions with denominator $30$.

$$\frac{28}{30}-\frac{15}{30}$$

Since $\frac{28}{30}$ and $\frac{15}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-15}{30}$$

Subtract $15$ from $28$ to get $13$.

$$\frac{13}{30}$$

Show Solution

Factor

$\frac{13}{2 \cdot 3 \cdot 5} = 0.43333333333333335$