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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (1)/(15)+(5)/(9) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{1}{15}+\frac{5}{9}$ $\newline$ Answer:

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Roots of rational numbers

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.

\newline

\frac{1}{15}+\frac{5}{9}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $\frac{1}{15}$ and $\frac{5}{9}$ . The least common multiple (LCM) of $15$ and $9$ is $45$ , which will be our common denominator.
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of $45$ . $\newline$ For $\frac{1}{15}$ , we multiply the numerator and the denominator by $3$ to get $\left(1 \times 3\right) / \left(15 \times 3\right) = \frac{3}{45}$ . $\newline$ For $\frac{5}{9}$ , we multiply the numerator and the denominator by $5$ to get $\left(5 \times 5\right) / \left(9 \times 5\right) = \frac{25}{45}$ .
Add Fractions with Common Denominator: Add the fractions with the common denominator. $\newline$ Now we add the numerators of the equivalent fractions and keep the common denominator: $\newline$ $\frac{3}{45} + \frac{25}{45} = \frac{(3 + 25)}{45} = \frac{28}{45}$ .
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{28}{45}$ cannot be simplified further because $28$ and $45$ have no common factors other than $1$ .

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