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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (4)/(9)+(1)/(15) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{4}{9}+\frac{1}{15}$ $\newline$ 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{4}{9}+\frac{1}{15}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $\frac{4}{9}$ and $\frac{1}{15}$ . The common denominator needs to be a multiple of both $9$ and $15$ . The least common multiple (LCM) of $9$ and $15$ is $45$ .
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of $45$ . For $\frac{4}{9}$ , multiply both the numerator and the denominator by $5$ to get $(4 \times 5) / (9 \times 5) = \frac{20}{45}$ . For $\frac{1}{15}$ , multiply both the numerator and the denominator by $3$ to get $(1 \times 3) / (15 \times 3) = \frac{3}{45}$ .
Add Equivalent Fractions: Add the equivalent fractions with the common denominator. $\newline$ $\frac{20}{45} + \frac{3}{45} = \frac{(20 + 3)}{45} = \frac{23}{45}$ .
Check for Simplification: Check if the resulting fraction can be simplified. $\newline$ The numerator $23$ and the denominator $45$ have no common factors other than $1$ , so the fraction is already in its simplest form.

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