Solve \ 1 5 + 2 15 \ :x=:x; 4/3 | Equatix

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Question

$$\{\frac{1}{5}+\frac{2}{15}\}:x=:x; \frac{4}{3}$$

Evaluate

$\frac{1}{3x}$

Solution Steps

Least common multiple of $5$ and $15$ is $15$. Convert $\frac{1}{5}$ and $\frac{2}{15}$ to fractions with denominator $15$.

$$\frac{\frac{3}{15}+\frac{2}{15}}{x}$$

Since $\frac{3}{15}$ and $\frac{2}{15}$ have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+2}{15}}{x}$$

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

$$\frac{\frac{5}{15}}{x}$$

Reduce the fraction $\frac{5}{15}$ to lowest terms by extracting and canceling out $5$.

$$\frac{\frac{1}{3}}{x}$$

Express $\frac{\frac{1}{3}}{x}$ as a single fraction.

$$\frac{1}{3x}$$

Show Solution

Expand

$\frac{1}{3x}$

Solution Steps

Least common multiple of $5$ and $15$ is $15$. Convert $\frac{1}{5}$ and $\frac{2}{15}$ to fractions with denominator $15$.

$$\frac{\frac{3}{15}+\frac{2}{15}}{x}$$

Since $\frac{3}{15}$ and $\frac{2}{15}$ have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+2}{15}}{x}$$

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

$$\frac{\frac{5}{15}}{x}$$

Reduce the fraction $\frac{5}{15}$ to lowest terms by extracting and canceling out $5$.

$$\frac{\frac{1}{3}}{x}$$

Express $\frac{\frac{1}{3}}{x}$ as a single fraction.

$$\frac{1}{3x}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

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Solution Steps