Solve 3/5 - 7/6 + 2/5 - 5/6 = | 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

$$\frac{3}{5}+\frac{-7}{6}+\frac{2}{5}+\frac{-5}{6}=$$

Evaluate

$-1$

Solution Steps

Fraction $\frac{-7}{6}$ can be rewritten as $-\frac{7}{6}$ by extracting the negative sign.

$$\frac{3}{5}-\frac{7}{6}+\frac{2}{5}+\frac{-5}{6}$$

Least common multiple of $5$ and $6$ is $30$. Convert $\frac{3}{5}$ and $\frac{7}{6}$ to fractions with denominator $30$.

$$\frac{18}{30}-\frac{35}{30}+\frac{2}{5}+\frac{-5}{6}$$

Since $\frac{18}{30}$ and $\frac{35}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-35}{30}+\frac{2}{5}+\frac{-5}{6}$$

Subtract $35$ from $18$ to get $-17$.

$$-\frac{17}{30}+\frac{2}{5}+\frac{-5}{6}$$

Least common multiple of $30$ and $5$ is $30$. Convert $-\frac{17}{30}$ and $\frac{2}{5}$ to fractions with denominator $30$.

$$-\frac{17}{30}+\frac{12}{30}+\frac{-5}{6}$$

Since $-\frac{17}{30}$ and $\frac{12}{30}$ have the same denominator, add them by adding their numerators.

$$\frac{-17+12}{30}+\frac{-5}{6}$$

Add $-17$ and $12$ to get $-5$.

$$\frac{-5}{30}+\frac{-5}{6}$$

Reduce the fraction $\frac{-5}{30}$ to lowest terms by extracting and canceling out $5$.

$$-\frac{1}{6}+\frac{-5}{6}$$

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

$$-\frac{1}{6}-\frac{5}{6}$$

Since $-\frac{1}{6}$ and $\frac{5}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-5}{6}$$

Subtract $5$ from $-1$ to get $-6$.

$$\frac{-6}{6}$$

Divide $-6$ by $6$ to get $-1$.

$$-1$$

Factor

$-1$