How to solve 4/7 + 9/4 - 13/2

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 4/7 + 9/4 - 13/2 | Equatix

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$$\frac{4}{7}+\frac{9}{4}-\frac{13}{2}$$

$-\frac{103}{28}\approx -3.678571429$

Least common multiple of $7$ and $4$ is $28$. Convert $\frac{4}{7}$ and $\frac{9}{4}$ to fractions with denominator $28$.

$$\frac{16}{28}+\frac{63}{28}-\frac{13}{2}$$

Since $\frac{16}{28}$ and $\frac{63}{28}$ have the same denominator, add them by adding their numerators.

$$\frac{16+63}{28}-\frac{13}{2}$$

Add $16$ and $63$ to get $79$.

$$\frac{79}{28}-\frac{13}{2}$$

Least common multiple of $28$ and $2$ is $28$. Convert $\frac{79}{28}$ and $\frac{13}{2}$ to fractions with denominator $28$.

$$\frac{79}{28}-\frac{182}{28}$$

Since $\frac{79}{28}$ and $\frac{182}{28}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{79-182}{28}$$

Subtract $182$ from $79$ to get $-103$.

$$-\frac{103}{28}$$

$-\frac{103}{28} = -3\frac{19}{28} = -3.6785714285714284$