How to solve - 8/7 + 1/2 + 3/5

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 - 8/7 + 1/2 + 3/5 | Equatix

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Question

$$\frac{-8}{7}+\frac{1}{2}+\frac{3}{5}$$

Evaluate

$-\frac{3}{70}\approx -0.042857143$

Solution Steps

Fraction $\frac{-8}{7}$ can be rewritten as $-\frac{8}{7}$ by extracting the negative sign.

$$-\frac{8}{7}+\frac{1}{2}+\frac{3}{5}$$

Least common multiple of $7$ and $2$ is $14$. Convert $-\frac{8}{7}$ and $\frac{1}{2}$ to fractions with denominator $14$.

$$-\frac{16}{14}+\frac{7}{14}+\frac{3}{5}$$

Since $-\frac{16}{14}$ and $\frac{7}{14}$ have the same denominator, add them by adding their numerators.

$$\frac{-16+7}{14}+\frac{3}{5}$$

Add $-16$ and $7$ to get $-9$.

$$-\frac{9}{14}+\frac{3}{5}$$

Least common multiple of $14$ and $5$ is $70$. Convert $-\frac{9}{14}$ and $\frac{3}{5}$ to fractions with denominator $70$.

$$-\frac{45}{70}+\frac{42}{70}$$

Since $-\frac{45}{70}$ and $\frac{42}{70}$ have the same denominator, add them by adding their numerators.

$$\frac{-45+42}{70}$$

Add $-45$ and $42$ to get $-3$.

$$-\frac{3}{70}$$

Show Solution

Factor

$-\frac{3}{70} = -0.04285714285714286$