Solve 4/3+3/5+-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

$$4/3+3/5+-2/3+-11/5$$

Evaluate

$-\frac{14}{15}\approx -0.933333333$

Solution Steps

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

$$\frac{20}{15}+\frac{9}{15}+\frac{-2}{3}+\frac{-11}{5}$$

Since $\frac{20}{15}$ and $\frac{9}{15}$ have the same denominator, add them by adding their numerators.

$$\frac{20+9}{15}+\frac{-2}{3}+\frac{-11}{5}$$

Add $20$ and $9$ to get $29$.

$$\frac{29}{15}+\frac{-2}{3}+\frac{-11}{5}$$

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

$$\frac{29}{15}-\frac{2}{3}+\frac{-11}{5}$$

Least common multiple of $15$ and $3$ is $15$. Convert $\frac{29}{15}$ and $\frac{2}{3}$ to fractions with denominator $15$.

$$\frac{29}{15}-\frac{10}{15}+\frac{-11}{5}$$

Since $\frac{29}{15}$ and $\frac{10}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-10}{15}+\frac{-11}{5}$$

Subtract $10$ from $29$ to get $19$.

$$\frac{19}{15}+\frac{-11}{5}$$

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

$$\frac{19}{15}-\frac{11}{5}$$

Least common multiple of $15$ and $5$ is $15$. Convert $\frac{19}{15}$ and $\frac{11}{5}$ to fractions with denominator $15$.

$$\frac{19}{15}-\frac{33}{15}$$

Since $\frac{19}{15}$ and $\frac{33}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-33}{15}$$

Subtract $33$ from $19$ to get $-14$.

$$-\frac{14}{15}$$

Factor

$-\frac{14}{15} = -0.9333333333333333$