Solve - 6/5 + (- 8)/3 = (- 8)/3 - 6/5 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{-6}{5}+\frac{(-8)}{3}=\frac{(-8)}{3}+\frac{-6}{5}$$

Verify

$\text{true}$

Solution Steps

Fraction $\frac{-6}{5}$ can be rewritten as $-\frac{6}{5}$ by extracting the negative sign.

$$-\frac{6}{5}+\frac{-8}{3}=\frac{-8}{3}+\frac{-6}{5}$$

Fraction $\frac{-8}{3}$ can be rewritten as $-\frac{8}{3}$ by extracting the negative sign.

$$-\frac{6}{5}-\frac{8}{3}=\frac{-8}{3}+\frac{-6}{5}$$

Least common multiple of $5$ and $3$ is $15$. Convert $-\frac{6}{5}$ and $\frac{8}{3}$ to fractions with denominator $15$.

$$-\frac{18}{15}-\frac{40}{15}=\frac{-8}{3}+\frac{-6}{5}$$

Since $-\frac{18}{15}$ and $\frac{40}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-18-40}{15}=\frac{-8}{3}+\frac{-6}{5}$$

Subtract $40$ from $-18$ to get $-58$.

$$-\frac{58}{15}=\frac{-8}{3}+\frac{-6}{5}$$

Fraction $\frac{-8}{3}$ can be rewritten as $-\frac{8}{3}$ by extracting the negative sign.

$$-\frac{58}{15}=-\frac{8}{3}+\frac{-6}{5}$$

Fraction $\frac{-6}{5}$ can be rewritten as $-\frac{6}{5}$ by extracting the negative sign.

$$-\frac{58}{15}=-\frac{8}{3}-\frac{6}{5}$$

Least common multiple of $3$ and $5$ is $15$. Convert $-\frac{8}{3}$ and $\frac{6}{5}$ to fractions with denominator $15$.

$$-\frac{58}{15}=-\frac{40}{15}-\frac{18}{15}$$

Since $-\frac{40}{15}$ and $\frac{18}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$-\frac{58}{15}=\frac{-40-18}{15}$$

Subtract $18$ from $-40$ to get $-58$.

$$-\frac{58}{15}=-\frac{58}{15}$$

Compare $-\frac{58}{15}$ and $-\frac{58}{15}$.

$$\text{true}$$