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$Evaluate the expression shown below and write your answer as a fraction in simplest form. -(4)/(15)-(1)/(6) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $-\frac{4}{15}-\frac{1}{6}$ $\newline$ 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}{15}-\frac{1}{6}

\newline

Answer:

Find Common Denominator: Find a common denominator for the fractions $-\frac{4}{15}$ and $-\frac{1}{6}$ . $\newline$ The least common multiple (LCM) of $15$ and $6$ is $30$ , so we will use $30$ as the common denominator.
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with a denominator of $30$ . For $-\frac{4}{15}$ , multiply both the numerator and the denominator by $2$ to get $-\frac{8}{30}$ . For $-\frac{1}{6}$ , multiply both the numerator and the denominator by $5$ to get $-\frac{5}{30}$ .
Add Fractions: Add the two fractions with the common denominator. $\newline$ $-\frac{8}{30} - \frac{5}{30} = \frac{-8 - 5}{30} = -\frac{13}{30}$
Check for Simplification: Check if the resulting fraction can be simplified. $\newline$ The fraction $-\frac{13}{30}$ cannot be simplified further because $13$ and $30$ have no common factors other than $1$ .

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