Solve - 8/15 - 17/50 + 13/20 - 31/75 | Equatix - Math Solver

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Example

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

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Question

$$\frac{-8}{15}+\frac{-17}{50}+\frac{13}{20}+\frac{-31}{75}$$

Evaluate

$-\frac{191}{300}\approx -0.636666667$

Solution Steps

Fraction $\frac{-8}{15}$ can be rewritten as $-\frac{8}{15}$ by extracting the negative sign.

$$-\frac{8}{15}+\frac{-17}{50}+\frac{13}{20}+\frac{-31}{75}$$

Fraction $\frac{-17}{50}$ can be rewritten as $-\frac{17}{50}$ by extracting the negative sign.

$$-\frac{8}{15}-\frac{17}{50}+\frac{13}{20}+\frac{-31}{75}$$

Least common multiple of $15$ and $50$ is $150$. Convert $-\frac{8}{15}$ and $\frac{17}{50}$ to fractions with denominator $150$.

$$-\frac{80}{150}-\frac{51}{150}+\frac{13}{20}+\frac{-31}{75}$$

Since $-\frac{80}{150}$ and $\frac{51}{150}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-80-51}{150}+\frac{13}{20}+\frac{-31}{75}$$

Subtract $51$ from $-80$ to get $-131$.

$$-\frac{131}{150}+\frac{13}{20}+\frac{-31}{75}$$

Least common multiple of $150$ and $20$ is $300$. Convert $-\frac{131}{150}$ and $\frac{13}{20}$ to fractions with denominator $300$.

$$-\frac{262}{300}+\frac{195}{300}+\frac{-31}{75}$$

Since $-\frac{262}{300}$ and $\frac{195}{300}$ have the same denominator, add them by adding their numerators.

$$\frac{-262+195}{300}+\frac{-31}{75}$$

Add $-262$ and $195$ to get $-67$.

$$-\frac{67}{300}+\frac{-31}{75}$$

Fraction $\frac{-31}{75}$ can be rewritten as $-\frac{31}{75}$ by extracting the negative sign.

$$-\frac{67}{300}-\frac{31}{75}$$

Least common multiple of $300$ and $75$ is $300$. Convert $-\frac{67}{300}$ and $\frac{31}{75}$ to fractions with denominator $300$.

$$-\frac{67}{300}-\frac{124}{300}$$

Since $-\frac{67}{300}$ and $\frac{124}{300}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-67-124}{300}$$

Subtract $124$ from $-67$ to get $-191$.

$$-\frac{191}{300}$$

Factor

$-\frac{191}{300} = -0.6366666666666667$