Solve ((1)/(15))+(-(2)/(15))+((1)/(5))+(-(4)/(15))+((1)/(3) | 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

$$( \frac{ 1 }{ 15 } )+(- \frac{ 2 }{ 15 } )+( \frac{ 1 }{ 5 } )+(- \frac{ 4 }{ 15 } )+( \frac{ 1 }{ 3 }$$

Evaluate

$\frac{1}{5}=0.2$

Solution Steps

Since $\frac{1}{15}$ and $\frac{2}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-2}{15}+\frac{1}{5}-\frac{4}{15}+\frac{1}{3}$$

Subtract $2$ from $1$ to get $-1$.

$$-\frac{1}{15}+\frac{1}{5}-\frac{4}{15}+\frac{1}{3}$$

Least common multiple of $15$ and $5$ is $15$. Convert $-\frac{1}{15}$ and $\frac{1}{5}$ to fractions with denominator $15$.

$$-\frac{1}{15}+\frac{3}{15}-\frac{4}{15}+\frac{1}{3}$$

Since $-\frac{1}{15}$ and $\frac{3}{15}$ have the same denominator, add them by adding their numerators.

$$\frac{-1+3}{15}-\frac{4}{15}+\frac{1}{3}$$

Add $-1$ and $3$ to get $2$.

$$\frac{2}{15}-\frac{4}{15}+\frac{1}{3}$$

Since $\frac{2}{15}$ and $\frac{4}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-4}{15}+\frac{1}{3}$$

Subtract $4$ from $2$ to get $-2$.

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

Least common multiple of $15$ and $3$ is $15$. Convert $-\frac{2}{15}$ and $\frac{1}{3}$ to fractions with denominator $15$.

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

Since $-\frac{2}{15}$ and $\frac{5}{15}$ have the same denominator, add them by adding their numerators.

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

Add $-2$ and $5$ to get $3$.

$$\frac{3}{15}$$

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

$$\frac{1}{5}$$

Factor

$\frac{1}{5} = 0.2$