How to solve -5/10+6/13+8

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 -5/10+6/13+8 | Equatix

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Question

$$-5/10+6/13+8$$

Evaluate

$\frac{207}{26}\approx 7.961538462$

Solution Steps

Reduce the fraction $\frac{-5}{10}$ to lowest terms by extracting and canceling out $5$.

$$-\frac{1}{2}+\frac{6}{13}+8$$

Least common multiple of $2$ and $13$ is $26$. Convert $-\frac{1}{2}$ and $\frac{6}{13}$ to fractions with denominator $26$.

$$-\frac{13}{26}+\frac{12}{26}+8$$

Since $-\frac{13}{26}$ and $\frac{12}{26}$ have the same denominator, add them by adding their numerators.

$$\frac{-13+12}{26}+8$$

Add $-13$ and $12$ to get $-1$.

$$-\frac{1}{26}+8$$

Convert $8$ to fraction $\frac{208}{26}$.

$$-\frac{1}{26}+\frac{208}{26}$$

Since $-\frac{1}{26}$ and $\frac{208}{26}$ have the same denominator, add them by adding their numerators.

$$\frac{-1+208}{26}$$

Add $-1$ and $208$ to get $207$.

$$\frac{207}{26}$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 23}{2 \cdot 13} = 7\frac{25}{26} = 7.961538461538462$