Solve (-3)/(10)+((-7)/(15)) | 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

$$\frac{ -3 }{ 10 } +( \frac{ -7 }{ 15 } )$$

Evaluate

$-\frac{23}{30}\approx -0.766666667$

Solution Steps

Fraction $\frac{-3}{10}$ can be rewritten as $-\frac{3}{10}$ by extracting the negative sign.

$$-\frac{3}{10}+\frac{-7}{15}$$

Fraction $\frac{-7}{15}$ can be rewritten as $-\frac{7}{15}$ by extracting the negative sign.

$$-\frac{3}{10}-\frac{7}{15}$$

Least common multiple of $10$ and $15$ is $30$. Convert $-\frac{3}{10}$ and $\frac{7}{15}$ to fractions with denominator $30$.

$$-\frac{9}{30}-\frac{14}{30}$$

Since $-\frac{9}{30}$ and $\frac{14}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-14}{30}$$

Subtract $14$ from $-9$ to get $-23$.

$$-\frac{23}{30}$$

Factor

$-\frac{23}{30} = -0.7666666666666667$