Solve (2/3)+(-4/5)+1+(-2/3)+(-11/5) | 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

$$(2/3)+(-4/5)+1+(-2/3)+(-11/5)$$

Evaluate

$-2$

Solution Steps

Fraction $\frac{-4}{5}$ can be rewritten as $-\frac{4}{5}$ by extracting the negative sign.

$$\frac{2}{3}-\frac{4}{5}+1+\frac{-2}{3}+\frac{-11}{5}$$

Least common multiple of $3$ and $5$ is $15$. Convert $\frac{2}{3}$ and $\frac{4}{5}$ to fractions with denominator $15$.

$$\frac{10}{15}-\frac{12}{15}+1+\frac{-2}{3}+\frac{-11}{5}$$

Since $\frac{10}{15}$ and $\frac{12}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-12}{15}+1+\frac{-2}{3}+\frac{-11}{5}$$

Subtract $12$ from $10$ to get $-2$.

$$-\frac{2}{15}+1+\frac{-2}{3}+\frac{-11}{5}$$

Convert $1$ to fraction $\frac{15}{15}$.

$$-\frac{2}{15}+\frac{15}{15}+\frac{-2}{3}+\frac{-11}{5}$$

Since $-\frac{2}{15}$ and $\frac{15}{15}$ have the same denominator, add them by adding their numerators.

$$\frac{-2+15}{15}+\frac{-2}{3}+\frac{-11}{5}$$

Add $-2$ and $15$ to get $13$.

$$\frac{13}{15}+\frac{-2}{3}+\frac{-11}{5}$$

Fraction $\frac{-2}{3}$ can be rewritten as $-\frac{2}{3}$ by extracting the negative sign.

$$\frac{13}{15}-\frac{2}{3}+\frac{-11}{5}$$

Least common multiple of $15$ and $3$ is $15$. Convert $\frac{13}{15}$ and $\frac{2}{3}$ to fractions with denominator $15$.

$$\frac{13}{15}-\frac{10}{15}+\frac{-11}{5}$$

Since $\frac{13}{15}$ and $\frac{10}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-10}{15}+\frac{-11}{5}$$

Subtract $10$ from $13$ to get $3$.

$$\frac{3}{15}+\frac{-11}{5}$$

Reduce the fraction $\frac{3}{15}$ to lowest terms by extracting and canceling out $3$.

$$\frac{1}{5}+\frac{-11}{5}$$

Fraction $\frac{-11}{5}$ can be rewritten as $-\frac{11}{5}$ by extracting the negative sign.

$$\frac{1}{5}-\frac{11}{5}$$

Since $\frac{1}{5}$ and $\frac{11}{5}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-11}{5}$$

Subtract $11$ from $1$ to get $-10$.

$$\frac{-10}{5}$$

Divide $-10$ by $5$ to get $-2$.

$$-2$$

Factor

$-2$